Greatest Common Factor of 609/530, 8694/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 609/530, 8694/540

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 609/530,8694/540

Given fractions are 609/530,8694/540

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 609,8694

Greatest Common Factor of Numerators i.e. GCF of 609,8694 is 21 .

LCM of Denominators means LCM of 530,540 as per the given fractions.

LCM of 530,540 is 28620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 609,8694

GCF of Fractions 609/530,8694/540 is 21/28620

3 609, 8694
7 203, 2898
29, 414

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 609,8694 By Matching Biggest Common Factor Method

Greatest Common Factor of 609,8694 By Matching Biggest Common Factor Method

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Factors of 8694

List of positive integer factors of 8694 that divides 8694 without a remainder.

1,2,3,6,7,9,14,18,21,23,27,42,46,54,63,69,126,138,161,189,207,322,378,414,483,621,966,1242,1449,2898,4347,8694

Greatest Common Factor

We found the factors 609,8694 . The biggest common factor number is the GCF number.
So the greatest common factor 609,8694 is 21.

Lets's calculate LCM of 530,540

2 530, 540
5 265, 270
53, 54

∴ So the LCM of the given numbers is 2 x 5 x 53 x 54 = 28620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/28620

Therefore, the GCF of Fractions 609/530,8694/540 is 21/28620

Least Common Multiple of 530,540 with GCF Formula

Least Common Multiple of 530,540 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 530,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,540) = 10

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

GCF(530,540) x common factors =10 x 1 = 10

LCM(530,540) = ( 530 × 540 ) / 10

LCM(530,540) = 286200 / 10

LCM(530,540) = 28620


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 609/530, 8694/540

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 609/530, 8694/540?

Answer: GCF of Numerators as per given numbers 609/530, 8694/540 is

GCF of Numerators i.e. for 609,8694 is 21

LCM of denominators i.e. for 530,540 is 28620.

Thus, GCF of Fractions is 21/28620.Finally, GCF of Fractions for 609/530, 8694/540 is 21/28620.