Greatest Common Factor of 7153/414, 7517/567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7153/414, 7517/567

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 7153/414,7517/567

Given fractions are 7153/414,7517/567

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 7153,7517

Greatest Common Factor of Numerators i.e. GCF of 7153,7517 is 1 .

LCM of Denominators means LCM of 414,567 as per the given fractions.

LCM of 414,567 is 26082 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7153,7517

GCF of Fractions 7153/414,7517/567 is 1/26082

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

Greatest Common Factor of 7153,7517 By Matching Biggest Common Factor Method

Greatest Common Factor of 7153,7517 By Matching Biggest Common Factor Method

Factors of 7153

List of positive integer factors of 7153 that divides 7153 without a remainder.

1,23,311,7153

Factors of 7517

List of positive integer factors of 7517 that divides 7517 without a remainder.

1,7517

Greatest Common Factor

We found the factors 7153,7517 . The biggest common factor number is the GCF number.
So the greatest common factor 7153,7517 is 1.

Lets's calculate LCM of 414,567

3 414, 567
3 138, 189
46, 63

∴ So the LCM of the given numbers is 3 x 3 x 46 x 63 = 26082

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26082

Therefore, the GCF of Fractions 7153/414,7517/567 is 1/26082

Least Common Multiple of 414,567 with GCF Formula

Least Common Multiple of 414,567 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 414,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,567) = 9

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

GCF(414,567) x common factors =9 x 1 = 9

LCM(414,567) = ( 414 × 567 ) / 9

LCM(414,567) = 234738 / 9

LCM(414,567) = 26082


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 7153/414, 7517/567

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 7153/414, 7517/567?

Answer: GCF of Numerators as per given numbers 7153/414, 7517/567 is

GCF of Numerators i.e. for 7153,7517 is 1

LCM of denominators i.e. for 414,567 is 26082.

Thus, GCF of Fractions is 1/26082.Finally, GCF of Fractions for 7153/414, 7517/567 is 1/26082.