Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 55/79,91/72,935/357
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 55,91,935
Greatest Common Factor of Numerators i.e. GCF of 55,91,935 is 1 .
LCM of Denominators means LCM of 79,72,357 as per the given fractions.
LCM of 79,72,357 is 676872 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 55,91,935
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Greatest Common Factor
We found the factors 55,91,935 . The biggest common factor number is the GCF number.
So the greatest common factor 55,91,935 is 1.
Lets's calculate LCM of 79,72,357
3 | 79, 72, 357 |
79, 24, 119 |
∴ So the LCM of the given numbers is 3 x 79 x 24 x 119 = 676872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/676872
Therefore, the GCF of Fractions 55/79,91/72,935/357 is 1/676872
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 79,72,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,72,357) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(79,72,357) x common factors =1 x 3 = 3
LCM(79,72,357) = ( 79 × 72 × 357 ) / 3
LCM(79,72,357) = 2030616 / 3
LCM(79,72,357) = 676872
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 55/79, 91/72, 935/357?
Answer: GCF of Numerators as per given numbers 55/79, 91/72, 935/357 is
GCF of Numerators i.e. for 55,91,935 is 1
LCM of denominators i.e. for 79,72,357 is 676872.
Thus, GCF of Fractions is 1/676872.Finally, GCF of Fractions for 55/79, 91/72, 935/357 is 1/676872.