Greatest Common Factor of 52/775, 481/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 52/775, 481/132

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 52/775,481/132

Given fractions are 52/775,481/132

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 52,481

Greatest Common Factor of Numerators i.e. GCF of 52,481 is 13 .

LCM of Denominators means LCM of 775,132 as per the given fractions.

LCM of 775,132 is 102300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 52,481

GCF of Fractions 52/775,481/132 is 13/102300

13 52, 481
4, 37

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 52,481 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,481 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 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Greatest Common Factor

We found the factors 52,481 . The biggest common factor number is the GCF number.
So the greatest common factor 52,481 is 13.

Lets's calculate LCM of 775,132

Given numbers has no common factors except 1. So, there LCM is their product i.e 102300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/102300

Therefore, the GCF of Fractions 52/775,481/132 is 13/102300

Least Common Multiple of 775,132 with GCF Formula

Least Common Multiple of 775,132 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 775,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(775,132) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(775,132) x common factors =1 x 1 = 1

LCM(775,132) = ( 775 × 132 ) / 1

LCM(775,132) = 102300 / 1

LCM(775,132) = 102300


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 52/775, 481/132

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 52/775, 481/132?

Answer: GCF of Numerators as per given numbers 52/775, 481/132 is

GCF of Numerators i.e. for 52,481 is 13

LCM of denominators i.e. for 775,132 is 102300.

Thus, GCF of Fractions is 13/102300.Finally, GCF of Fractions for 52/775, 481/132 is 13/102300.