Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6812/832,2631/3157
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 6812,2631
Greatest Common Factor of Numerators i.e. GCF of 6812,2631 is 1 .
LCM of Denominators means LCM of 832,3157 as per the given fractions.
LCM of 832,3157 is 2626624 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6812,2631
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6812
List of positive integer factors of 6812 that divides 6812 without a remainder.
1,2,4,13,26,52,131,262,524,1703,3406,6812
Factors of 2631
List of positive integer factors of 2631 that divides 2631 without a remainder.
1,3,877,2631
Greatest Common Factor
We found the factors 6812,2631 . The biggest common factor number is the GCF number.
So the greatest common factor 6812,2631 is 1.
Lets's calculate LCM of 832,3157
Given numbers has no common factors except 1. So, there LCM is their product i.e 2626624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2626624
Therefore, the GCF of Fractions 6812/832,2631/3157 is 1/2626624
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 832,3157 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(832,3157) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(832,3157) x common factors =1 x 1 = 1
LCM(832,3157) = ( 832 × 3157 ) / 1
LCM(832,3157) = 2626624 / 1
LCM(832,3157) = 2626624
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 6812/832, 2631/3157?
Answer: GCF of Numerators as per given numbers 6812/832, 2631/3157 is
GCF of Numerators i.e. for 6812,2631 is 1
LCM of denominators i.e. for 832,3157 is 2626624.
Thus, GCF of Fractions is 1/2626624.Finally, GCF of Fractions for 6812/832, 2631/3157 is 1/2626624.