Greatest Common Factor of 539/824, 560/926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 539/824, 560/926

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 539/824,560/926

Given fractions are 539/824,560/926

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 539,560

Greatest Common Factor of Numerators i.e. GCF of 539,560 is 7 .

LCM of Denominators means LCM of 824,926 as per the given fractions.

LCM of 824,926 is 381512 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 539,560

GCF of Fractions 539/824,560/926 is 7/381512

7 539, 560
77, 80

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 539,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 539,560 By Matching Biggest Common Factor Method

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 539,560 . The biggest common factor number is the GCF number.
So the greatest common factor 539,560 is 7.

Lets's calculate LCM of 824,926

2 824, 926
412, 463

∴ So the LCM of the given numbers is 2 x 412 x 463 = 381512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/381512

Therefore, the GCF of Fractions 539/824,560/926 is 7/381512

Least Common Multiple of 824,926 with GCF Formula

Least Common Multiple of 824,926 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 824,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,926) = 2

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

GCF(824,926) x common factors =2 x 1 = 2

LCM(824,926) = ( 824 × 926 ) / 2

LCM(824,926) = 763024 / 2

LCM(824,926) = 381512


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 539/824, 560/926

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 539/824, 560/926?

Answer: GCF of Numerators as per given numbers 539/824, 560/926 is

GCF of Numerators i.e. for 539,560 is 7

LCM of denominators i.e. for 824,926 is 381512.

Thus, GCF of Fractions is 7/381512.Finally, GCF of Fractions for 539/824, 560/926 is 7/381512.