Greatest Common Factor of 7172/524, 2113/3560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7172/524, 2113/3560

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 7172/524,2113/3560

Given fractions are 7172/524,2113/3560

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 7172,2113

Greatest Common Factor of Numerators i.e. GCF of 7172,2113 is 1 .

LCM of Denominators means LCM of 524,3560 as per the given fractions.

LCM of 524,3560 is 466360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7172,2113

GCF of Fractions 7172/524,2113/3560 is 1/466360

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

Greatest Common Factor of 7172,2113 By Matching Biggest Common Factor Method

Greatest Common Factor of 7172,2113 By Matching Biggest Common Factor Method

Factors of 7172

List of positive integer factors of 7172 that divides 7172 without a remainder.

1,2,4,11,22,44,163,326,652,1793,3586,7172

Factors of 2113

List of positive integer factors of 2113 that divides 2113 without a remainder.

1,2113

Greatest Common Factor

We found the factors 7172,2113 . The biggest common factor number is the GCF number.
So the greatest common factor 7172,2113 is 1.

Lets's calculate LCM of 524,3560

2 524, 3560
2 262, 1780
131, 890

∴ So the LCM of the given numbers is 2 x 2 x 131 x 890 = 466360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/466360

Therefore, the GCF of Fractions 7172/524,2113/3560 is 1/466360

Least Common Multiple of 524,3560 with GCF Formula

Least Common Multiple of 524,3560 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 524,3560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(524,3560) = 4

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

GCF(524,3560) x common factors =4 x 1 = 4

LCM(524,3560) = ( 524 × 3560 ) / 4

LCM(524,3560) = 1865440 / 4

LCM(524,3560) = 466360


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 7172/524, 2113/3560

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 7172/524, 2113/3560?

Answer: GCF of Numerators as per given numbers 7172/524, 2113/3560 is

GCF of Numerators i.e. for 7172,2113 is 1

LCM of denominators i.e. for 524,3560 is 466360.

Thus, GCF of Fractions is 1/466360.Finally, GCF of Fractions for 7172/524, 2113/3560 is 1/466360.