Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 948/695,8655/973
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 948,8655
Greatest Common Factor of Numerators i.e. GCF of 948,8655 is 3 .
LCM of Denominators means LCM of 695,973 as per the given fractions.
LCM of 695,973 is 4865 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 948,8655
3 | 948, 8655 |
316, 2885 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 948
List of positive integer factors of 948 that divides 948 without a remainder.
1,2,3,4,6,12,79,158,237,316,474,948
Factors of 8655
List of positive integer factors of 8655 that divides 8655 without a remainder.
1,3,5,15,577,1731,2885,8655
Greatest Common Factor
We found the factors 948,8655 . The biggest common factor number is the GCF number.
So the greatest common factor 948,8655 is 3.
Lets's calculate LCM of 695,973
139 | 695, 973 |
5, 7 |
∴ So the LCM of the given numbers is 139 x 5 x 7 = 4865
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4865
Therefore, the GCF of Fractions 948/695,8655/973 is 3/4865
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 695,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(695,973) = 139
common factors(in case of two or more numbers have common factors) = 1
GCF(695,973) x common factors =139 x 1 = 139
LCM(695,973) = ( 695 × 973 ) / 139
LCM(695,973) = 676235 / 139
LCM(695,973) = 4865
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 948/695, 8655/973?
Answer: GCF of Numerators as per given numbers 948/695, 8655/973 is
GCF of Numerators i.e. for 948,8655 is 3
LCM of denominators i.e. for 695,973 is 4865.
Thus, GCF of Fractions is 3/4865.Finally, GCF of Fractions for 948/695, 8655/973 is 3/4865.