Greatest Common Factor of 815/975, 643/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 815/975, 643/638

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 815/975,643/638

Given fractions are 815/975,643/638

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 815,643

Greatest Common Factor of Numerators i.e. GCF of 815,643 is 1 .

LCM of Denominators means LCM of 975,638 as per the given fractions.

LCM of 975,638 is 622050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 815,643

GCF of Fractions 815/975,643/638 is 1/622050

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

Greatest Common Factor of 815,643 By Matching Biggest Common Factor Method

Greatest Common Factor of 815,643 By Matching Biggest Common Factor Method

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Greatest Common Factor

We found the factors 815,643 . The biggest common factor number is the GCF number.
So the greatest common factor 815,643 is 1.

Lets's calculate LCM of 975,638

Given numbers has no common factors except 1. So, there LCM is their product i.e 622050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/622050

Therefore, the GCF of Fractions 815/975,643/638 is 1/622050

Least Common Multiple of 975,638 with GCF Formula

Least Common Multiple of 975,638 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 975,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,638) = 1

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

GCF(975,638) x common factors =1 x 1 = 1

LCM(975,638) = ( 975 × 638 ) / 1

LCM(975,638) = 622050 / 1

LCM(975,638) = 622050


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 815/975, 643/638

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 815/975, 643/638?

Answer: GCF of Numerators as per given numbers 815/975, 643/638 is

GCF of Numerators i.e. for 815,643 is 1

LCM of denominators i.e. for 975,638 is 622050.

Thus, GCF of Fractions is 1/622050.Finally, GCF of Fractions for 815/975, 643/638 is 1/622050.