Greatest Common Factor of 653/960, 1826/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 653/960, 1826/540

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 653/960,1826/540

Given fractions are 653/960,1826/540

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 653,1826

Greatest Common Factor of Numerators i.e. GCF of 653,1826 is 1 .

LCM of Denominators means LCM of 960,540 as per the given fractions.

LCM of 960,540 is 8640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 653,1826

GCF of Fractions 653/960,1826/540 is 1/8640

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

Greatest Common Factor of 653,1826 By Matching Biggest Common Factor Method

Greatest Common Factor of 653,1826 By Matching Biggest Common Factor Method

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Factors of 1826

List of positive integer factors of 1826 that divides 1826 without a remainder.

1,2,11,22,83,166,913,1826

Greatest Common Factor

We found the factors 653,1826 . The biggest common factor number is the GCF number.
So the greatest common factor 653,1826 is 1.

Lets's calculate LCM of 960,540

2 960, 540
2 480, 270
3 240, 135
5 80, 45
16, 9

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 16 x 9 = 8640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8640

Therefore, the GCF of Fractions 653/960,1826/540 is 1/8640

Least Common Multiple of 960,540 with GCF Formula

Least Common Multiple of 960,540 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 960,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,540) = 60

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

GCF(960,540) x common factors =60 x 1 = 60

LCM(960,540) = ( 960 × 540 ) / 60

LCM(960,540) = 518400 / 60

LCM(960,540) = 8640


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 653/960, 1826/540

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 653/960, 1826/540?

Answer: GCF of Numerators as per given numbers 653/960, 1826/540 is

GCF of Numerators i.e. for 653,1826 is 1

LCM of denominators i.e. for 960,540 is 8640.

Thus, GCF of Fractions is 1/8640.Finally, GCF of Fractions for 653/960, 1826/540 is 1/8640.