Greatest Common Factor of 817/72, 542/20, 983/348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 817/72, 542/20, 983/348

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 817/72,542/20,983/348

Given fractions are 817/72,542/20,983/348

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 817,542,983

Greatest Common Factor of Numerators i.e. GCF of 817,542,983 is 1 .

LCM of Denominators means LCM of 72,20,348 as per the given fractions.

LCM of 72,20,348 is 10440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 817,542,983

GCF of Fractions 817/72,542/20,983/348 is 1/10440

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

Greatest Common Factor of 817,542,983 By Matching Biggest Common Factor Method

Greatest Common Factor of 817,542,983 By Matching Biggest Common Factor Method

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Factors of 542

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

1,2,271,542

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Greatest Common Factor

We found the factors 817,542,983 . The biggest common factor number is the GCF number.
So the greatest common factor 817,542,983 is 1.

Lets's calculate LCM of 72,20,348

2 72, 20, 348
2 36, 10, 174
3 18, 5, 87
6, 5, 29

∴ So the LCM of the given numbers is 2 x 2 x 3 x 6 x 5 x 29 = 10440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10440

Therefore, the GCF of Fractions 817/72,542/20,983/348 is 1/10440

Least Common Multiple of 72,20,348 with GCF Formula

Least Common Multiple of 72,20,348 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 72,20,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,20,348) = 4

common factors(in case of two or more numbers have common factors) = 12

GCF(72,20,348) x common factors =4 x 12 = 48

LCM(72,20,348) = ( 72 × 20 × 348 ) / 48

LCM(72,20,348) = 501120 / 48

LCM(72,20,348) = 10440


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 817/72, 542/20, 983/348

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 817/72, 542/20, 983/348?

Answer: GCF of Numerators as per given numbers 817/72, 542/20, 983/348 is

GCF of Numerators i.e. for 817,542,983 is 1

LCM of denominators i.e. for 72,20,348 is 10440.

Thus, GCF of Fractions is 1/10440.Finally, GCF of Fractions for 817/72, 542/20, 983/348 is 1/10440.