Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 52/96,60/72,377/279
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 52,60,377
Greatest Common Factor of Numerators i.e. GCF of 52,60,377 is 1 .
LCM of Denominators means LCM of 96,72,279 as per the given fractions.
LCM of 96,72,279 is 8928 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 52,60,377
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 377
List of positive integer factors of 377 that divides 377 without a remainder.
1,13,29,377
Greatest Common Factor
We found the factors 52,60,377 . The biggest common factor number is the GCF number.
So the greatest common factor 52,60,377 is 1.
Lets's calculate LCM of 96,72,279
2 | 96, 72, 279 |
2 | 48, 36, 279 |
2 | 24, 18, 279 |
3 | 12, 9, 279 |
3 | 4, 3, 93 |
4, 1, 31 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 4 x 1 x 31 = 8928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8928
Therefore, the GCF of Fractions 52/96,60/72,377/279 is 1/8928
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 96,72,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,72,279) = 3
common factors(in case of two or more numbers have common factors) = 72
GCF(96,72,279) x common factors =3 x 72 = 216
LCM(96,72,279) = ( 96 × 72 × 279 ) / 216
LCM(96,72,279) = 1928448 / 216
LCM(96,72,279) = 8928
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 52/96, 60/72, 377/279?
Answer: GCF of Numerators as per given numbers 52/96, 60/72, 377/279 is
GCF of Numerators i.e. for 52,60,377 is 1
LCM of denominators i.e. for 96,72,279 is 8928.
Thus, GCF of Fractions is 1/8928.Finally, GCF of Fractions for 52/96, 60/72, 377/279 is 1/8928.