Greatest Common Factor of 56/784, 326/267, 564/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 56/784, 326/267, 564/294

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 56/784,326/267,564/294

Given fractions are 56/784,326/267,564/294

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 56,326,564

Greatest Common Factor of Numerators i.e. GCF of 56,326,564 is 2 .

LCM of Denominators means LCM of 784,267,294 as per the given fractions.

LCM of 784,267,294 is 209328 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 56,326,564

GCF of Fractions 56/784,326/267,564/294 is 2/209328

2 56, 326, 564
28, 163, 282

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

Greatest Common Factor of 56,326,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,326,564 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 56,326,564 . The biggest common factor number is the GCF number.
So the greatest common factor 56,326,564 is 2.

Lets's calculate LCM of 784,267,294

2 784, 267, 294
3 392, 267, 147
7 392, 89, 49
7 56, 89, 7
8, 89, 1

∴ So the LCM of the given numbers is 2 x 3 x 7 x 7 x 8 x 89 x 1 = 209328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/209328

Therefore, the GCF of Fractions 56/784,326/267,564/294 is 2/209328

Least Common Multiple of 784,267,294 with GCF Formula

Least Common Multiple of 784,267,294 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 784,267,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,267,294) = 1

common factors(in case of two or more numbers have common factors) = 294

GCF(784,267,294) x common factors =1 x 294 = 294

LCM(784,267,294) = ( 784 × 267 × 294 ) / 294

LCM(784,267,294) = 61542432 / 294

LCM(784,267,294) = 209328


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 56/784, 326/267, 564/294

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 56/784, 326/267, 564/294?

Answer: GCF of Numerators as per given numbers 56/784, 326/267, 564/294 is

GCF of Numerators i.e. for 56,326,564 is 2

LCM of denominators i.e. for 784,267,294 is 209328.

Thus, GCF of Fractions is 2/209328.Finally, GCF of Fractions for 56/784, 326/267, 564/294 is 2/209328.