Greatest Common Factor of 52/77, 64/942, 254/393

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 52/77, 64/942, 254/393

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 52/77,64/942,254/393

Given fractions are 52/77,64/942,254/393

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 52,64,254

Greatest Common Factor of Numerators i.e. GCF of 52,64,254 is 2 .

LCM of Denominators means LCM of 77,942,393 as per the given fractions.

LCM of 77,942,393 is 9501954 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 52,64,254

GCF of Fractions 52/77,64/942,254/393 is 2/9501954

2 52, 64, 254
26, 32, 127

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 52,64,254 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,64,254 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

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 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Greatest Common Factor

We found the factors 52,64,254 . The biggest common factor number is the GCF number.
So the greatest common factor 52,64,254 is 2.

Lets's calculate LCM of 77,942,393

3 77, 942, 393
77, 314, 131

∴ So the LCM of the given numbers is 3 x 77 x 314 x 131 = 9501954

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9501954

Therefore, the GCF of Fractions 52/77,64/942,254/393 is 2/9501954

Least Common Multiple of 77,942,393 with GCF Formula

Least Common Multiple of 77,942,393 with GCF Formula

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 77,942,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,942,393) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(77,942,393) x common factors =1 x 3 = 3

LCM(77,942,393) = ( 77 × 942 × 393 ) / 3

LCM(77,942,393) = 28505862 / 3

LCM(77,942,393) = 9501954


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 52/77, 64/942, 254/393

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 52/77, 64/942, 254/393?

Answer: GCF of Numerators as per given numbers 52/77, 64/942, 254/393 is

GCF of Numerators i.e. for 52,64,254 is 2

LCM of denominators i.e. for 77,942,393 is 9501954.

Thus, GCF of Fractions is 2/9501954.Finally, GCF of Fractions for 52/77, 64/942, 254/393 is 2/9501954.