Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4137/374,6567/6152
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 4137,6567
Greatest Common Factor of Numerators i.e. GCF of 4137,6567 is 3 .
LCM of Denominators means LCM of 374,6152 as per the given fractions.
LCM of 374,6152 is 1150424 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4137,6567
3 | 4137, 6567 |
1379, 2189 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 4137
List of positive integer factors of 4137 that divides 4137 without a remainder.
1,3,7,21,197,591,1379,4137
Factors of 6567
List of positive integer factors of 6567 that divides 6567 without a remainder.
1,3,11,33,199,597,2189,6567
Greatest Common Factor
We found the factors 4137,6567 . The biggest common factor number is the GCF number.
So the greatest common factor 4137,6567 is 3.
Lets's calculate LCM of 374,6152
2 | 374, 6152 |
187, 3076 |
∴ So the LCM of the given numbers is 2 x 187 x 3076 = 1150424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1150424
Therefore, the GCF of Fractions 4137/374,6567/6152 is 3/1150424
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 374,6152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(374,6152) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(374,6152) x common factors =2 x 1 = 2
LCM(374,6152) = ( 374 × 6152 ) / 2
LCM(374,6152) = 2300848 / 2
LCM(374,6152) = 1150424
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 4137/374, 6567/6152?
Answer: GCF of Numerators as per given numbers 4137/374, 6567/6152 is
GCF of Numerators i.e. for 4137,6567 is 3
LCM of denominators i.e. for 374,6152 is 1150424.
Thus, GCF of Fractions is 3/1150424.Finally, GCF of Fractions for 4137/374, 6567/6152 is 3/1150424.