Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 64/91,96/43,43/79,72/972
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 64,96,43,72
Greatest Common Factor of Numerators i.e. GCF of 64,96,43,72 is 1 .
LCM of Denominators means LCM of 91,43,79,972 as per the given fractions.
LCM of 91,43,79,972 is 300471444 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 64,96,43,72
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Greatest Common Factor
We found the factors 64,96,43,72 . The biggest common factor number is the GCF number.
So the greatest common factor 64,96,43,72 is 1.
Lets's calculate LCM of 91,43,79,972
Given numbers has no common factors except 1. So, there LCM is their product i.e 300471444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/300471444
Therefore, the GCF of Fractions 64/91,96/43,43/79,72/972 is 1/300471444
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 91,43,79,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,43,79,972) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,43,79,972) x common factors =1 x 1 = 1
LCM(91,43,79,972) = ( 91 × 43 × 79 × 972 ) / 1
LCM(91,43,79,972) = 300471444 / 1
LCM(91,43,79,972) = 300471444
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 64/91, 96/43, 43/79, 72/972?
Answer: GCF of Numerators as per given numbers 64/91, 96/43, 43/79, 72/972 is
GCF of Numerators i.e. for 64,96,43,72 is 1
LCM of denominators i.e. for 91,43,79,972 is 300471444.
Thus, GCF of Fractions is 1/300471444.Finally, GCF of Fractions for 64/91, 96/43, 43/79, 72/972 is 1/300471444.