Greatest Common Factor of 470/974, 542/317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 470/974, 542/317

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 470/974,542/317

Given fractions are 470/974,542/317

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 470,542

Greatest Common Factor of Numerators i.e. GCF of 470,542 is 2 .

LCM of Denominators means LCM of 974,317 as per the given fractions.

LCM of 974,317 is 308758 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 470,542

GCF of Fractions 470/974,542/317 is 2/308758

2 470, 542
235, 271

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 470,542 By Matching Biggest Common Factor Method

Greatest Common Factor of 470,542 By Matching Biggest Common Factor Method

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Greatest Common Factor

We found the factors 470,542 . The biggest common factor number is the GCF number.
So the greatest common factor 470,542 is 2.

Lets's calculate LCM of 974,317

Given numbers has no common factors except 1. So, there LCM is their product i.e 308758

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/308758

Therefore, the GCF of Fractions 470/974,542/317 is 2/308758

Least Common Multiple of 974,317 with GCF Formula

Least Common Multiple of 974,317 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 974,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(974,317) = 1

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

GCF(974,317) x common factors =1 x 1 = 1

LCM(974,317) = ( 974 × 317 ) / 1

LCM(974,317) = 308758 / 1

LCM(974,317) = 308758


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 470/974, 542/317

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 470/974, 542/317?

Answer: GCF of Numerators as per given numbers 470/974, 542/317 is

GCF of Numerators i.e. for 470,542 is 2

LCM of denominators i.e. for 974,317 is 308758.

Thus, GCF of Fractions is 2/308758.Finally, GCF of Fractions for 470/974, 542/317 is 2/308758.