Greatest Common Factor of 52/69, 797/23, 674/944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 52/69, 797/23, 674/944

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 52/69,797/23,674/944

Given fractions are 52/69,797/23,674/944

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 52,797,674

Greatest Common Factor of Numerators i.e. GCF of 52,797,674 is 1 .

LCM of Denominators means LCM of 69,23,944 as per the given fractions.

LCM of 69,23,944 is 65136 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 52,797,674

GCF of Fractions 52/69,797/23,674/944 is 1/65136

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 52,797,674 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,797,674 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 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Greatest Common Factor

We found the factors 52,797,674 . The biggest common factor number is the GCF number.
So the greatest common factor 52,797,674 is 1.

Lets's calculate LCM of 69,23,944

23 69, 23, 944
3, 1, 944

∴ So the LCM of the given numbers is 23 x 3 x 1 x 944 = 65136

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65136

Therefore, the GCF of Fractions 52/69,797/23,674/944 is 1/65136

Least Common Multiple of 69,23,944 with GCF Formula

Least Common Multiple of 69,23,944 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 69,23,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,23,944) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(69,23,944) x common factors =1 x 23 = 23

LCM(69,23,944) = ( 69 × 23 × 944 ) / 23

LCM(69,23,944) = 1498128 / 23

LCM(69,23,944) = 65136


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 52/69, 797/23, 674/944

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 52/69, 797/23, 674/944?

Answer: GCF of Numerators as per given numbers 52/69, 797/23, 674/944 is

GCF of Numerators i.e. for 52,797,674 is 1

LCM of denominators i.e. for 69,23,944 is 65136.

Thus, GCF of Fractions is 1/65136.Finally, GCF of Fractions for 52/69, 797/23, 674/944 is 1/65136.