Greatest Common Factor of 187/679, 7294/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 187/679, 7294/638

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 187/679,7294/638

Given fractions are 187/679,7294/638

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 187,7294

Greatest Common Factor of Numerators i.e. GCF of 187,7294 is 1 .

LCM of Denominators means LCM of 679,638 as per the given fractions.

LCM of 679,638 is 433202 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 187,7294

GCF of Fractions 187/679,7294/638 is 1/433202

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

Greatest Common Factor of 187,7294 By Matching Biggest Common Factor Method

Greatest Common Factor of 187,7294 By Matching Biggest Common Factor Method

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Factors of 7294

List of positive integer factors of 7294 that divides 7294 without a remainder.

1,2,7,14,521,1042,3647,7294

Greatest Common Factor

We found the factors 187,7294 . The biggest common factor number is the GCF number.
So the greatest common factor 187,7294 is 1.

Lets's calculate LCM of 679,638

Given numbers has no common factors except 1. So, there LCM is their product i.e 433202

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/433202

Therefore, the GCF of Fractions 187/679,7294/638 is 1/433202

Least Common Multiple of 679,638 with GCF Formula

Least Common Multiple of 679,638 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 679,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,638) = 1

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

GCF(679,638) x common factors =1 x 1 = 1

LCM(679,638) = ( 679 × 638 ) / 1

LCM(679,638) = 433202 / 1

LCM(679,638) = 433202


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 187/679, 7294/638

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 187/679, 7294/638?

Answer: GCF of Numerators as per given numbers 187/679, 7294/638 is

GCF of Numerators i.e. for 187,7294 is 1

LCM of denominators i.e. for 679,638 is 433202.

Thus, GCF of Fractions is 1/433202.Finally, GCF of Fractions for 187/679, 7294/638 is 1/433202.