Greatest Common Factor of 767/54, 1652/772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 767/54, 1652/772

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 767/54,1652/772

Given fractions are 767/54,1652/772

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 767,1652

Greatest Common Factor of Numerators i.e. GCF of 767,1652 is 59 .

LCM of Denominators means LCM of 54,772 as per the given fractions.

LCM of 54,772 is 20844 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 767,1652

GCF of Fractions 767/54,1652/772 is 59/20844

59 767, 1652
13, 28

∴ So the GCF of the given numbers is 59 = 59

Greatest Common Factor of 767,1652 By Matching Biggest Common Factor Method

Greatest Common Factor of 767,1652 By Matching Biggest Common Factor Method

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 1652

List of positive integer factors of 1652 that divides 1652 without a remainder.

1,2,4,7,14,28,59,118,236,413,826,1652

Greatest Common Factor

We found the factors 767,1652 . The biggest common factor number is the GCF number.
So the greatest common factor 767,1652 is 59.

Lets's calculate LCM of 54,772

2 54, 772
27, 386

∴ So the LCM of the given numbers is 2 x 27 x 386 = 20844

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 59/20844

Therefore, the GCF of Fractions 767/54,1652/772 is 59/20844

Least Common Multiple of 54,772 with GCF Formula

Least Common Multiple of 54,772 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 54,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,772) = 2

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

GCF(54,772) x common factors =2 x 1 = 2

LCM(54,772) = ( 54 × 772 ) / 2

LCM(54,772) = 41688 / 2

LCM(54,772) = 20844


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 767/54, 1652/772

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 767/54, 1652/772?

Answer: GCF of Numerators as per given numbers 767/54, 1652/772 is

GCF of Numerators i.e. for 767,1652 is 59

LCM of denominators i.e. for 54,772 is 20844.

Thus, GCF of Fractions is 59/20844.Finally, GCF of Fractions for 767/54, 1652/772 is 59/20844.