Greatest Common Factor of 527/376, 149/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 527/376, 149/424

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 527/376,149/424

Given fractions are 527/376,149/424

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 527,149

Greatest Common Factor of Numerators i.e. GCF of 527,149 is 1 .

LCM of Denominators means LCM of 376,424 as per the given fractions.

LCM of 376,424 is 19928 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 527,149

GCF of Fractions 527/376,149/424 is 1/19928

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

Greatest Common Factor of 527,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 527,149 By Matching Biggest Common Factor Method

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 527,149 . The biggest common factor number is the GCF number.
So the greatest common factor 527,149 is 1.

Lets's calculate LCM of 376,424

2 376, 424
2 188, 212
2 94, 106
47, 53

∴ So the LCM of the given numbers is 2 x 2 x 2 x 47 x 53 = 19928

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19928

Therefore, the GCF of Fractions 527/376,149/424 is 1/19928

Least Common Multiple of 376,424 with GCF Formula

Least Common Multiple of 376,424 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 376,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(376,424) = 8

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

GCF(376,424) x common factors =8 x 1 = 8

LCM(376,424) = ( 376 × 424 ) / 8

LCM(376,424) = 159424 / 8

LCM(376,424) = 19928


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 527/376, 149/424

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 527/376, 149/424?

Answer: GCF of Numerators as per given numbers 527/376, 149/424 is

GCF of Numerators i.e. for 527,149 is 1

LCM of denominators i.e. for 376,424 is 19928.

Thus, GCF of Fractions is 1/19928.Finally, GCF of Fractions for 527/376, 149/424 is 1/19928.