Greatest Common Factor of 7275/610, 7719/1143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7275/610, 7719/1143

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 7275/610,7719/1143

Given fractions are 7275/610,7719/1143

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 7275,7719

Greatest Common Factor of Numerators i.e. GCF of 7275,7719 is 3 .

LCM of Denominators means LCM of 610,1143 as per the given fractions.

LCM of 610,1143 is 697230 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7275,7719

GCF of Fractions 7275/610,7719/1143 is 3/697230

3 7275, 7719
2425, 2573

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7275,7719 By Matching Biggest Common Factor Method

Greatest Common Factor of 7275,7719 By Matching Biggest Common Factor Method

Factors of 7275

List of positive integer factors of 7275 that divides 7275 without a remainder.

1,3,5,15,25,75,97,291,485,1455,2425,7275

Factors of 7719

List of positive integer factors of 7719 that divides 7719 without a remainder.

1,3,31,83,93,249,2573,7719

Greatest Common Factor

We found the factors 7275,7719 . The biggest common factor number is the GCF number.
So the greatest common factor 7275,7719 is 3.

Lets's calculate LCM of 610,1143

Given numbers has no common factors except 1. So, there LCM is their product i.e 697230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/697230

Therefore, the GCF of Fractions 7275/610,7719/1143 is 3/697230

Least Common Multiple of 610,1143 with GCF Formula

Least Common Multiple of 610,1143 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 610,1143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(610,1143) = 1

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

GCF(610,1143) x common factors =1 x 1 = 1

LCM(610,1143) = ( 610 × 1143 ) / 1

LCM(610,1143) = 697230 / 1

LCM(610,1143) = 697230


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 7275/610, 7719/1143

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 7275/610, 7719/1143?

Answer: GCF of Numerators as per given numbers 7275/610, 7719/1143 is

GCF of Numerators i.e. for 7275,7719 is 3

LCM of denominators i.e. for 610,1143 is 697230.

Thus, GCF of Fractions is 3/697230.Finally, GCF of Fractions for 7275/610, 7719/1143 is 3/697230.