Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 22/32,52/76,147/634
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 22,52,147
Greatest Common Factor of Numerators i.e. GCF of 22,52,147 is 1 .
LCM of Denominators means LCM of 32,76,634 as per the given fractions.
LCM of 32,76,634 is 192736 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 22,52,147
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 147
List of positive integer factors of 147 that divides 147 without a remainder.
1,3,7,21,49,147
Greatest Common Factor
We found the factors 22,52,147 . The biggest common factor number is the GCF number.
So the greatest common factor 22,52,147 is 1.
Lets's calculate LCM of 32,76,634
2 | 32, 76, 634 |
2 | 16, 38, 317 |
8, 19, 317 |
∴ So the LCM of the given numbers is 2 x 2 x 8 x 19 x 317 = 192736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/192736
Therefore, the GCF of Fractions 22/32,52/76,147/634 is 1/192736
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 32,76,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,76,634) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(32,76,634) x common factors =2 x 4 = 8
LCM(32,76,634) = ( 32 × 76 × 634 ) / 8
LCM(32,76,634) = 1541888 / 8
LCM(32,76,634) = 192736
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 22/32, 52/76, 147/634?
Answer: GCF of Numerators as per given numbers 22/32, 52/76, 147/634 is
GCF of Numerators i.e. for 22,52,147 is 1
LCM of denominators i.e. for 32,76,634 is 192736.
Thus, GCF of Fractions is 1/192736.Finally, GCF of Fractions for 22/32, 52/76, 147/634 is 1/192736.