Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6372/422,6658/379
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 6372,6658
Greatest Common Factor of Numerators i.e. GCF of 6372,6658 is 2 .
LCM of Denominators means LCM of 422,379 as per the given fractions.
LCM of 422,379 is 159938 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6372,6658
2 | 6372, 6658 |
3186, 3329 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6372
List of positive integer factors of 6372 that divides 6372 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,59,108,118,177,236,354,531,708,1062,1593,2124,3186,6372
Factors of 6658
List of positive integer factors of 6658 that divides 6658 without a remainder.
1,2,3329,6658
Greatest Common Factor
We found the factors 6372,6658 . The biggest common factor number is the GCF number.
So the greatest common factor 6372,6658 is 2.
Lets's calculate LCM of 422,379
Given numbers has no common factors except 1. So, there LCM is their product i.e 159938
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/159938
Therefore, the GCF of Fractions 6372/422,6658/379 is 2/159938
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 422,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(422,379) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(422,379) x common factors =1 x 1 = 1
LCM(422,379) = ( 422 × 379 ) / 1
LCM(422,379) = 159938 / 1
LCM(422,379) = 159938
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 6372/422, 6658/379?
Answer: GCF of Numerators as per given numbers 6372/422, 6658/379 is
GCF of Numerators i.e. for 6372,6658 is 2
LCM of denominators i.e. for 422,379 is 159938.
Thus, GCF of Fractions is 2/159938.Finally, GCF of Fractions for 6372/422, 6658/379 is 2/159938.