Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 91/60,12/97,34/50,64/76
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 91,12,34,64
Greatest Common Factor of Numerators i.e. GCF of 91,12,34,64 is 1 .
LCM of Denominators means LCM of 60,97,50,76 as per the given fractions.
LCM of 60,97,50,76 is 552900 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 91,12,34,64
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Greatest Common Factor
We found the factors 91,12,34,64 . The biggest common factor number is the GCF number.
So the greatest common factor 91,12,34,64 is 1.
Lets's calculate LCM of 60,97,50,76
2 | 60, 97, 50, 76 |
2 | 30, 97, 25, 38 |
5 | 15, 97, 25, 19 |
3, 97, 5, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 3 x 97 x 5 x 19 = 552900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/552900
Therefore, the GCF of Fractions 91/60,12/97,34/50,64/76 is 1/552900
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 60,97,50,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,97,50,76) = 1
common factors(in case of two or more numbers have common factors) = 40
GCF(60,97,50,76) x common factors =1 x 40 = 40
LCM(60,97,50,76) = ( 60 × 97 × 50 × 76 ) / 40
LCM(60,97,50,76) = 22116000 / 40
LCM(60,97,50,76) = 552900
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 91/60, 12/97, 34/50, 64/76?
Answer: GCF of Numerators as per given numbers 91/60, 12/97, 34/50, 64/76 is
GCF of Numerators i.e. for 91,12,34,64 is 1
LCM of denominators i.e. for 60,97,50,76 is 552900.
Thus, GCF of Fractions is 1/552900.Finally, GCF of Fractions for 91/60, 12/97, 34/50, 64/76 is 1/552900.