Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2643/932,2160/916
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 2643,2160
Greatest Common Factor of Numerators i.e. GCF of 2643,2160 is 3 .
LCM of Denominators means LCM of 932,916 as per the given fractions.
LCM of 932,916 is 213428 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2643,2160
3 | 2643, 2160 |
881, 720 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 2643
List of positive integer factors of 2643 that divides 2643 without a remainder.
1,3,881,2643
Factors of 2160
List of positive integer factors of 2160 that divides 2160 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,36,40,45,48,54,60,72,80,90,108,120,135,144,180,216,240,270,360,432,540,720,1080,2160
Greatest Common Factor
We found the factors 2643,2160 . The biggest common factor number is the GCF number.
So the greatest common factor 2643,2160 is 3.
Lets's calculate LCM of 932,916
2 | 932, 916 |
2 | 466, 458 |
233, 229 |
∴ So the LCM of the given numbers is 2 x 2 x 233 x 229 = 213428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/213428
Therefore, the GCF of Fractions 2643/932,2160/916 is 3/213428
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 932,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(932,916) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(932,916) x common factors =4 x 1 = 4
LCM(932,916) = ( 932 × 916 ) / 4
LCM(932,916) = 853712 / 4
LCM(932,916) = 213428
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 2643/932, 2160/916?
Answer: GCF of Numerators as per given numbers 2643/932, 2160/916 is
GCF of Numerators i.e. for 2643,2160 is 3
LCM of denominators i.e. for 932,916 is 213428.
Thus, GCF of Fractions is 3/213428.Finally, GCF of Fractions for 2643/932, 2160/916 is 3/213428.