Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 60/956,6855/9414
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 60,6855
Greatest Common Factor of Numerators i.e. GCF of 60,6855 is 15 .
LCM of Denominators means LCM of 956,9414 as per the given fractions.
LCM of 956,9414 is 4499892 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 60,6855
3 | 60, 6855 |
5 | 20, 2285 |
4, 457 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 6855
List of positive integer factors of 6855 that divides 6855 without a remainder.
1,3,5,15,457,1371,2285,6855
Greatest Common Factor
We found the factors 60,6855 . The biggest common factor number is the GCF number.
So the greatest common factor 60,6855 is 15.
Lets's calculate LCM of 956,9414
2 | 956, 9414 |
478, 4707 |
∴ So the LCM of the given numbers is 2 x 478 x 4707 = 4499892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/4499892
Therefore, the GCF of Fractions 60/956,6855/9414 is 15/4499892
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 956,9414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(956,9414) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(956,9414) x common factors =2 x 1 = 2
LCM(956,9414) = ( 956 × 9414 ) / 2
LCM(956,9414) = 8999784 / 2
LCM(956,9414) = 4499892
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 60/956, 6855/9414?
Answer: GCF of Numerators as per given numbers 60/956, 6855/9414 is
GCF of Numerators i.e. for 60,6855 is 15
LCM of denominators i.e. for 956,9414 is 4499892.
Thus, GCF of Fractions is 15/4499892.Finally, GCF of Fractions for 60/956, 6855/9414 is 15/4499892.