Greatest Common Factor of 507/29, 975/2422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 507/29, 975/2422

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 507/29,975/2422

Given fractions are 507/29,975/2422

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 507,975

Greatest Common Factor of Numerators i.e. GCF of 507,975 is 39 .

LCM of Denominators means LCM of 29,2422 as per the given fractions.

LCM of 29,2422 is 70238 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 507,975

GCF of Fractions 507/29,975/2422 is 39/70238

3 507, 975
13 169, 325
13, 25

∴ So the GCF of the given numbers is 3 x 13 = 39

Greatest Common Factor of 507,975 By Matching Biggest Common Factor Method

Greatest Common Factor of 507,975 By Matching Biggest Common Factor Method

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Greatest Common Factor

We found the factors 507,975 . The biggest common factor number is the GCF number.
So the greatest common factor 507,975 is 39.

Lets's calculate LCM of 29,2422

Given numbers has no common factors except 1. So, there LCM is their product i.e 70238

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/70238

Therefore, the GCF of Fractions 507/29,975/2422 is 39/70238

Least Common Multiple of 29,2422 with GCF Formula

Least Common Multiple of 29,2422 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 29,2422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,2422) = 1

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

GCF(29,2422) x common factors =1 x 1 = 1

LCM(29,2422) = ( 29 × 2422 ) / 1

LCM(29,2422) = 70238 / 1

LCM(29,2422) = 70238


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 507/29, 975/2422

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 507/29, 975/2422?

Answer: GCF of Numerators as per given numbers 507/29, 975/2422 is

GCF of Numerators i.e. for 507,975 is 39

LCM of denominators i.e. for 29,2422 is 70238.

Thus, GCF of Fractions is 39/70238.Finally, GCF of Fractions for 507/29, 975/2422 is 39/70238.