Greatest Common Factor of 2975/72, 5429/847

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2975/72, 5429/847

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 2975/72,5429/847

Given fractions are 2975/72,5429/847

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 2975,5429

Greatest Common Factor of Numerators i.e. GCF of 2975,5429 is 1 .

LCM of Denominators means LCM of 72,847 as per the given fractions.

LCM of 72,847 is 60984 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2975,5429

GCF of Fractions 2975/72,5429/847 is 1/60984

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

Greatest Common Factor of 2975,5429 By Matching Biggest Common Factor Method

Greatest Common Factor of 2975,5429 By Matching Biggest Common Factor Method

Factors of 2975

List of positive integer factors of 2975 that divides 2975 without a remainder.

1,5,7,17,25,35,85,119,175,425,595,2975

Factors of 5429

List of positive integer factors of 5429 that divides 5429 without a remainder.

1,61,89,5429

Greatest Common Factor

We found the factors 2975,5429 . The biggest common factor number is the GCF number.
So the greatest common factor 2975,5429 is 1.

Lets's calculate LCM of 72,847

Given numbers has no common factors except 1. So, there LCM is their product i.e 60984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60984

Therefore, the GCF of Fractions 2975/72,5429/847 is 1/60984

Least Common Multiple of 72,847 with GCF Formula

Least Common Multiple of 72,847 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 72,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,847) = 1

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

GCF(72,847) x common factors =1 x 1 = 1

LCM(72,847) = ( 72 × 847 ) / 1

LCM(72,847) = 60984 / 1

LCM(72,847) = 60984


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 2975/72, 5429/847

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 2975/72, 5429/847?

Answer: GCF of Numerators as per given numbers 2975/72, 5429/847 is

GCF of Numerators i.e. for 2975,5429 is 1

LCM of denominators i.e. for 72,847 is 60984.

Thus, GCF of Fractions is 1/60984.Finally, GCF of Fractions for 2975/72, 5429/847 is 1/60984.