Enter GCF or LCM numbers:
Determine GCF(845,1250)
GCF = Largest factor that divides numbers
Determine the factors for 845
1,5,13,65,169,845
Determine the factors for 1250
1,2,5,10,25,50,125,250,625
List the common factors
1,5
GCF(845,1250) = 5
Evaluate GCF
Since GCF ≠ 1, they are not relatively prime (co-prime)
Since GCF ≠ 1 and have a difference of two, the numbers are not twin prime
Calculate LCM for the following
(845,1250)
List the first few multiples for 845
845,1690,2535,3380,4225,5070,5915,6760,7605,8450,9295,10140,10985,11830,12675,13520,14365,15210,16055,16900,17745,18590,19435,20280,21125,21970,22815,23660,24505,25350,26195,27040,27885,28730,29575,30420,31265,32110,32955,33800,34645,35490,36335,37180,38025,38870,39715,40560,41405,42250,43095,43940,44785,45630,46475,47320,48165,49010,49855,50700,51545,52390,53235,54080,54925,55770,56615,57460,58305,59150,59995,60840,61685,62530,63375,64220,65065,65910,66755,67600,68445,69290,70135,70980,71825,72670,73515,74360,75205,76050,76895,77740,78585,79430,80275,81120,81965,82810,83655,84500,85345,86190,87035,87880,88725,89570,90415,91260,92105,92950,93795,94640,95485,96330,97175,98020,98865,99710,100555,101400,102245,103090,103935,104780,105625,106470,107315,108160,109005,109850,110695,111540,112385,113230,114075,114920,115765,116610,117455,118300,119145,119990,120835,121680,122525,123370,124215,125060,125905,126750,127595,128440,129285,130130,130975,131820,132665,133510,134355,135200,136045,136890,137735,138580,139425,140270,141115,141960,142805,143650,144495,145340,146185,147030,147875,148720,149565,150410,151255,152100,152945,153790,154635,155480,156325,157170,158015,158860,159705,160550,161395,162240,163085,163930,164775,165620,166465,167310,168155,169000,169845,170690,171535,172380,173225,174070,174915,175760,176605,177450,178295,179140,179985,180830,181675,182520,183365,184210,185055,185900,186745,187590,188435,189280,190125,190970,191815,192660,193505,194350,195195,196040,196885,197730,198575,199420,200265,201110,201955,202800,203645,204490,205335,206180,207025,207870,208715,209560,210405,211250,212095,212940,213785
List the first few multiples for 1250
1250,2500,3750,5000,6250,7500,8750,10000,11250,12500,13750,15000,16250,17500,18750,20000,21250,22500,23750,25000,26250,27500,28750,30000,31250,32500,33750,35000,36250,37500,38750,40000,41250,42500,43750,45000,46250,47500,48750,50000,51250,52500,53750,55000,56250,57500,58750,60000,61250,62500,63750,65000,66250,67500,68750,70000,71250,72500,73750,75000,76250,77500,78750,80000,81250,82500,83750,85000,86250,87500,88750,90000,91250,92500,93750,95000,96250,97500,98750,100000,101250,102500,103750,105000,106250,107500,108750,110000,111250,112500,113750,115000,116250,117500,118750,120000,121250,122500,123750,125000,126250,127500,128750,130000,131250,132500,133750,135000,136250,137500,138750,140000,141250,142500,143750,145000,146250,147500,148750,150000,151250,152500,153750,155000,156250,157500,158750,160000,161250,162500,163750,165000,166250,167500,168750,170000,171250,172500,173750,175000,176250,177500,178750,180000,181250,182500,183750,185000,186250,187500,188750,190000,191250,192500,193750,195000,196250,197500,198750,200000,201250,202500,203750,205000,206250,207500,208750,210000,211250,212500,213750,215000
LCM is the smallest common number:
LCM(845,1250) is 211250
Common Core State Standards In This Lesson
What is the Answer?
How does the Greatest Common Factor and Least Common Multiple Calculator work?
* Greatest Common Factor (GCF) using Factor Pairs
* Rewrite Sum using the Distributive Property and factoring out the GCF
* Least Common Multiple (LCM) / Least Common Denominator (LCD) using Factor Pairs
* GCF using the method of Successive Division
* GCF using the Prime Factorization method
* Determine if the numbers are coprime and twin prime
This calculator has 3 inputs.
What 11 concepts are covered in the Greatest Common Factor and Least Common Multiple Calculator?
- division
- separate a number into parts
- division
- separate a number into parts
- factor
- a divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n.
- greatest common factor
- largest positive integer dividing a set of integers
- greatest common factor and least common multiple
- least common multiple
- Given 2 numbers a and b, the least common multiple LCM is the smallest positive integer that is divisible by both. It is commonly denoted as LCM(a, b)
- minimum
- the least or lowest amount possible or attained
- multiple
- the product of any quantity and an integer
- number
- an arithmetical value, expressed by a word, symbol, or figure, representing a particular quantity and used in counting and making calculations and for showing order in a series or for identification. A quantity or amount.
- prime factorization
- the prime numbers that divide that integer exactly
- remainder
- The portion of a division operation leftover after dividing two integers
