Greatest Common Factor of 8034/564, 1479/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8034/564, 1479/272

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 8034/564,1479/272

Given fractions are 8034/564,1479/272

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 8034,1479

Greatest Common Factor of Numerators i.e. GCF of 8034,1479 is 3 .

LCM of Denominators means LCM of 564,272 as per the given fractions.

LCM of 564,272 is 38352 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8034,1479

GCF of Fractions 8034/564,1479/272 is 3/38352

3 8034, 1479
2678, 493

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8034,1479 By Matching Biggest Common Factor Method

Greatest Common Factor of 8034,1479 By Matching Biggest Common Factor Method

Factors of 8034

List of positive integer factors of 8034 that divides 8034 without a remainder.

1,2,3,6,13,26,39,78,103,206,309,618,1339,2678,4017,8034

Factors of 1479

List of positive integer factors of 1479 that divides 1479 without a remainder.

1,3,17,29,51,87,493,1479

Greatest Common Factor

We found the factors 8034,1479 . The biggest common factor number is the GCF number.
So the greatest common factor 8034,1479 is 3.

Lets's calculate LCM of 564,272

2 564, 272
2 282, 136
141, 68

∴ So the LCM of the given numbers is 2 x 2 x 141 x 68 = 38352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/38352

Therefore, the GCF of Fractions 8034/564,1479/272 is 3/38352

Least Common Multiple of 564,272 with GCF Formula

Least Common Multiple of 564,272 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 564,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,272) = 4

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

GCF(564,272) x common factors =4 x 1 = 4

LCM(564,272) = ( 564 × 272 ) / 4

LCM(564,272) = 153408 / 4

LCM(564,272) = 38352


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 8034/564, 1479/272

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 8034/564, 1479/272?

Answer: GCF of Numerators as per given numbers 8034/564, 1479/272 is

GCF of Numerators i.e. for 8034,1479 is 3

LCM of denominators i.e. for 564,272 is 38352.

Thus, GCF of Fractions is 3/38352.Finally, GCF of Fractions for 8034/564, 1479/272 is 3/38352.