Greatest Common Factor of 24/10, 52/60, 421/558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 24/10, 52/60, 421/558

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 24/10,52/60,421/558

Given fractions are 24/10,52/60,421/558

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 24,52,421

Greatest Common Factor of Numerators i.e. GCF of 24,52,421 is 1 .

LCM of Denominators means LCM of 10,60,558 as per the given fractions.

LCM of 10,60,558 is 5580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 24,52,421

GCF of Fractions 24/10,52/60,421/558 is 1/5580

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

Greatest Common Factor of 24,52,421 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,52,421 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Greatest Common Factor

We found the factors 24,52,421 . The biggest common factor number is the GCF number.
So the greatest common factor 24,52,421 is 1.

Lets's calculate LCM of 10,60,558

2 10, 60, 558
3 5, 30, 279
5 5, 10, 93
1, 2, 93

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 2 x 93 = 5580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5580

Therefore, the GCF of Fractions 24/10,52/60,421/558 is 1/5580

Least Common Multiple of 10,60,558 with GCF Formula

Least Common Multiple of 10,60,558 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 10,60,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,60,558) = 2

common factors(in case of two or more numbers have common factors) = 30

GCF(10,60,558) x common factors =2 x 30 = 60

LCM(10,60,558) = ( 10 × 60 × 558 ) / 60

LCM(10,60,558) = 334800 / 60

LCM(10,60,558) = 5580


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 24/10, 52/60, 421/558

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 24/10, 52/60, 421/558?

Answer: GCF of Numerators as per given numbers 24/10, 52/60, 421/558 is

GCF of Numerators i.e. for 24,52,421 is 1

LCM of denominators i.e. for 10,60,558 is 5580.

Thus, GCF of Fractions is 1/5580.Finally, GCF of Fractions for 24/10, 52/60, 421/558 is 1/5580.