Greatest Common Factor of 24/84, 57/65, 425/31

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 24/84, 57/65, 425/31

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 24/84,57/65,425/31

Given fractions are 24/84,57/65,425/31

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 24,57,425

Greatest Common Factor of Numerators i.e. GCF of 24,57,425 is 1 .

LCM of Denominators means LCM of 84,65,31 as per the given fractions.

LCM of 84,65,31 is 169260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 24,57,425

GCF of Fractions 24/84,57/65,425/31 is 1/169260

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

Greatest Common Factor of 24,57,425 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,57,425 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 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Greatest Common Factor

We found the factors 24,57,425 . The biggest common factor number is the GCF number.
So the greatest common factor 24,57,425 is 1.

Lets's calculate LCM of 84,65,31

Given numbers has no common factors except 1. So, there LCM is their product i.e 169260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/169260

Therefore, the GCF of Fractions 24/84,57/65,425/31 is 1/169260

Least Common Multiple of 84,65,31 with GCF Formula

Least Common Multiple of 84,65,31 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 84,65,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,65,31) = 1

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

GCF(84,65,31) x common factors =1 x 1 = 1

LCM(84,65,31) = ( 84 × 65 × 31 ) / 1

LCM(84,65,31) = 169260 / 1

LCM(84,65,31) = 169260


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 24/84, 57/65, 425/31

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 24/84, 57/65, 425/31?

Answer: GCF of Numerators as per given numbers 24/84, 57/65, 425/31 is

GCF of Numerators i.e. for 24,57,425 is 1

LCM of denominators i.e. for 84,65,31 is 169260.

Thus, GCF of Fractions is 1/169260.Finally, GCF of Fractions for 24/84, 57/65, 425/31 is 1/169260.