Greatest Common Factor of 75/337, 325/377, 671/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/337, 325/377, 671/507

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 75/337,325/377,671/507

Given fractions are 75/337,325/377,671/507

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 75,325,671

Greatest Common Factor of Numerators i.e. GCF of 75,325,671 is 1 .

LCM of Denominators means LCM of 337,377,507 as per the given fractions.

LCM of 337,377,507 is 4954911 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,325,671

GCF of Fractions 75/337,325/377,671/507 is 1/4954911

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

Greatest Common Factor of 75,325,671 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,325,671 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Greatest Common Factor

We found the factors 75,325,671 . The biggest common factor number is the GCF number.
So the greatest common factor 75,325,671 is 1.

Lets's calculate LCM of 337,377,507

13 337, 377, 507
337, 29, 39

∴ So the LCM of the given numbers is 13 x 337 x 29 x 39 = 4954911

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4954911

Therefore, the GCF of Fractions 75/337,325/377,671/507 is 1/4954911

Least Common Multiple of 337,377,507 with GCF Formula

Least Common Multiple of 337,377,507 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 337,377,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(337,377,507) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(337,377,507) x common factors =1 x 13 = 13

LCM(337,377,507) = ( 337 × 377 × 507 ) / 13

LCM(337,377,507) = 64413843 / 13

LCM(337,377,507) = 4954911


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 75/337, 325/377, 671/507

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 75/337, 325/377, 671/507?

Answer: GCF of Numerators as per given numbers 75/337, 325/377, 671/507 is

GCF of Numerators i.e. for 75,325,671 is 1

LCM of denominators i.e. for 337,377,507 is 4954911.

Thus, GCF of Fractions is 1/4954911.Finally, GCF of Fractions for 75/337, 325/377, 671/507 is 1/4954911.