Greatest Common Factor of 7247/715, 2190/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7247/715, 2190/580

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 7247/715,2190/580

Given fractions are 7247/715,2190/580

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 7247,2190

Greatest Common Factor of Numerators i.e. GCF of 7247,2190 is 1 .

LCM of Denominators means LCM of 715,580 as per the given fractions.

LCM of 715,580 is 82940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7247,2190

GCF of Fractions 7247/715,2190/580 is 1/82940

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

Greatest Common Factor of 7247,2190 By Matching Biggest Common Factor Method

Greatest Common Factor of 7247,2190 By Matching Biggest Common Factor Method

Factors of 7247

List of positive integer factors of 7247 that divides 7247 without a remainder.

1,7247

Factors of 2190

List of positive integer factors of 2190 that divides 2190 without a remainder.

1,2,3,5,6,10,15,30,73,146,219,365,438,730,1095,2190

Greatest Common Factor

We found the factors 7247,2190 . The biggest common factor number is the GCF number.
So the greatest common factor 7247,2190 is 1.

Lets's calculate LCM of 715,580

5 715, 580
143, 116

∴ So the LCM of the given numbers is 5 x 143 x 116 = 82940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82940

Therefore, the GCF of Fractions 7247/715,2190/580 is 1/82940

Least Common Multiple of 715,580 with GCF Formula

Least Common Multiple of 715,580 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 715,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(715,580) = 5

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

GCF(715,580) x common factors =5 x 1 = 5

LCM(715,580) = ( 715 × 580 ) / 5

LCM(715,580) = 414700 / 5

LCM(715,580) = 82940


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 7247/715, 2190/580

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 7247/715, 2190/580?

Answer: GCF of Numerators as per given numbers 7247/715, 2190/580 is

GCF of Numerators i.e. for 7247,2190 is 1

LCM of denominators i.e. for 715,580 is 82940.

Thus, GCF of Fractions is 1/82940.Finally, GCF of Fractions for 7247/715, 2190/580 is 1/82940.