Greatest Common Factor of 7652/263, 7175/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7652/263, 7175/820

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 7652/263,7175/820

Given fractions are 7652/263,7175/820

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 7652,7175

Greatest Common Factor of Numerators i.e. GCF of 7652,7175 is 1 .

LCM of Denominators means LCM of 263,820 as per the given fractions.

LCM of 263,820 is 215660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7652,7175

GCF of Fractions 7652/263,7175/820 is 1/215660

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

Greatest Common Factor of 7652,7175 By Matching Biggest Common Factor Method

Greatest Common Factor of 7652,7175 By Matching Biggest Common Factor Method

Factors of 7652

List of positive integer factors of 7652 that divides 7652 without a remainder.

1,2,4,1913,3826,7652

Factors of 7175

List of positive integer factors of 7175 that divides 7175 without a remainder.

1,5,7,25,35,41,175,205,287,1025,1435,7175

Greatest Common Factor

We found the factors 7652,7175 . The biggest common factor number is the GCF number.
So the greatest common factor 7652,7175 is 1.

Lets's calculate LCM of 263,820

Given numbers has no common factors except 1. So, there LCM is their product i.e 215660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/215660

Therefore, the GCF of Fractions 7652/263,7175/820 is 1/215660

Least Common Multiple of 263,820 with GCF Formula

Least Common Multiple of 263,820 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 263,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(263,820) = 1

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

GCF(263,820) x common factors =1 x 1 = 1

LCM(263,820) = ( 263 × 820 ) / 1

LCM(263,820) = 215660 / 1

LCM(263,820) = 215660


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 7652/263, 7175/820

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 7652/263, 7175/820?

Answer: GCF of Numerators as per given numbers 7652/263, 7175/820 is

GCF of Numerators i.e. for 7652,7175 is 1

LCM of denominators i.e. for 263,820 is 215660.

Thus, GCF of Fractions is 1/215660.Finally, GCF of Fractions for 7652/263, 7175/820 is 1/215660.