Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 12/96,47/62,154/956
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 12,47,154
Greatest Common Factor of Numerators i.e. GCF of 12,47,154 is 1 .
LCM of Denominators means LCM of 96,62,956 as per the given fractions.
LCM of 96,62,956 is 711264 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 12,47,154
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 154
List of positive integer factors of 154 that divides 154 without a remainder.
1,2,7,11,14,22,77,154
Greatest Common Factor
We found the factors 12,47,154 . The biggest common factor number is the GCF number.
So the greatest common factor 12,47,154 is 1.
Lets's calculate LCM of 96,62,956
2 | 96, 62, 956 |
2 | 48, 31, 478 |
24, 31, 239 |
∴ So the LCM of the given numbers is 2 x 2 x 24 x 31 x 239 = 711264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/711264
Therefore, the GCF of Fractions 12/96,47/62,154/956 is 1/711264
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 96,62,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,62,956) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(96,62,956) x common factors =2 x 4 = 8
LCM(96,62,956) = ( 96 × 62 × 956 ) / 8
LCM(96,62,956) = 5690112 / 8
LCM(96,62,956) = 711264
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 12/96, 47/62, 154/956?
Answer: GCF of Numerators as per given numbers 12/96, 47/62, 154/956 is
GCF of Numerators i.e. for 12,47,154 is 1
LCM of denominators i.e. for 96,62,956 is 711264.
Thus, GCF of Fractions is 1/711264.Finally, GCF of Fractions for 12/96, 47/62, 154/956 is 1/711264.