Greatest Common Factor of 31/74, 901/26, 344/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 31/74, 901/26, 344/524

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 31/74,901/26,344/524

Given fractions are 31/74,901/26,344/524

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 31,901,344

Greatest Common Factor of Numerators i.e. GCF of 31,901,344 is 1 .

LCM of Denominators means LCM of 74,26,524 as per the given fractions.

LCM of 74,26,524 is 252044 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 31,901,344

GCF of Fractions 31/74,901/26,344/524 is 1/252044

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

Greatest Common Factor of 31,901,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,901,344 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 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 31,901,344 . The biggest common factor number is the GCF number.
So the greatest common factor 31,901,344 is 1.

Lets's calculate LCM of 74,26,524

2 74, 26, 524
37, 13, 262

∴ So the LCM of the given numbers is 2 x 37 x 13 x 262 = 252044

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/252044

Therefore, the GCF of Fractions 31/74,901/26,344/524 is 1/252044

Least Common Multiple of 74,26,524 with GCF Formula

Least Common Multiple of 74,26,524 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 74,26,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,26,524) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(74,26,524) x common factors =2 x 2 = 4

LCM(74,26,524) = ( 74 × 26 × 524 ) / 4

LCM(74,26,524) = 1008176 / 4

LCM(74,26,524) = 252044


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 31/74, 901/26, 344/524

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 31/74, 901/26, 344/524?

Answer: GCF of Numerators as per given numbers 31/74, 901/26, 344/524 is

GCF of Numerators i.e. for 31,901,344 is 1

LCM of denominators i.e. for 74,26,524 is 252044.

Thus, GCF of Fractions is 1/252044.Finally, GCF of Fractions for 31/74, 901/26, 344/524 is 1/252044.