Greatest Common Factor of 31/52, 693/95, 548/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 31/52, 693/95, 548/296

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 31/52,693/95,548/296

Given fractions are 31/52,693/95,548/296

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 31,693,548

Greatest Common Factor of Numerators i.e. GCF of 31,693,548 is 1 .

LCM of Denominators means LCM of 52,95,296 as per the given fractions.

LCM of 52,95,296 is 365560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 31,693,548

GCF of Fractions 31/52,693/95,548/296 is 1/365560

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

Greatest Common Factor of 31,693,548 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,693,548 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Greatest Common Factor

We found the factors 31,693,548 . The biggest common factor number is the GCF number.
So the greatest common factor 31,693,548 is 1.

Lets's calculate LCM of 52,95,296

2 52, 95, 296
2 26, 95, 148
13, 95, 74

∴ So the LCM of the given numbers is 2 x 2 x 13 x 95 x 74 = 365560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/365560

Therefore, the GCF of Fractions 31/52,693/95,548/296 is 1/365560

Least Common Multiple of 52,95,296 with GCF Formula

Least Common Multiple of 52,95,296 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 52,95,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,95,296) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(52,95,296) x common factors =1 x 4 = 4

LCM(52,95,296) = ( 52 × 95 × 296 ) / 4

LCM(52,95,296) = 1462240 / 4

LCM(52,95,296) = 365560


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 31/52, 693/95, 548/296

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 31/52, 693/95, 548/296?

Answer: GCF of Numerators as per given numbers 31/52, 693/95, 548/296 is

GCF of Numerators i.e. for 31,693,548 is 1

LCM of denominators i.e. for 52,95,296 is 365560.

Thus, GCF of Fractions is 1/365560.Finally, GCF of Fractions for 31/52, 693/95, 548/296 is 1/365560.