Greatest Common Factor of 637/149, 5928/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 637/149, 5928/579

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 637/149,5928/579

Given fractions are 637/149,5928/579

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 637,5928

Greatest Common Factor of Numerators i.e. GCF of 637,5928 is 13 .

LCM of Denominators means LCM of 149,579 as per the given fractions.

LCM of 149,579 is 86271 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 637,5928

GCF of Fractions 637/149,5928/579 is 13/86271

13 637, 5928
49, 456

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 637,5928 By Matching Biggest Common Factor Method

Greatest Common Factor of 637,5928 By Matching Biggest Common Factor Method

Factors of 637

List of positive integer factors of 637 that divides 637 without a remainder.

1,7,13,49,91,637

Factors of 5928

List of positive integer factors of 5928 that divides 5928 without a remainder.

1,2,3,4,6,8,12,13,19,24,26,38,39,52,57,76,78,104,114,152,156,228,247,312,456,494,741,988,1482,1976,2964,5928

Greatest Common Factor

We found the factors 637,5928 . The biggest common factor number is the GCF number.
So the greatest common factor 637,5928 is 13.

Lets's calculate LCM of 149,579

Given numbers has no common factors except 1. So, there LCM is their product i.e 86271

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/86271

Therefore, the GCF of Fractions 637/149,5928/579 is 13/86271

Least Common Multiple of 149,579 with GCF Formula

Least Common Multiple of 149,579 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 149,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,579) = 1

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

GCF(149,579) x common factors =1 x 1 = 1

LCM(149,579) = ( 149 × 579 ) / 1

LCM(149,579) = 86271 / 1

LCM(149,579) = 86271


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 637/149, 5928/579

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 637/149, 5928/579?

Answer: GCF of Numerators as per given numbers 637/149, 5928/579 is

GCF of Numerators i.e. for 637,5928 is 13

LCM of denominators i.e. for 149,579 is 86271.

Thus, GCF of Fractions is 13/86271.Finally, GCF of Fractions for 637/149, 5928/579 is 13/86271.