Greatest Common Factor of 56/54, 12/63, 29/593

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 56/54, 12/63, 29/593

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 56/54,12/63,29/593

Given fractions are 56/54,12/63,29/593

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 56,12,29

Greatest Common Factor of Numerators i.e. GCF of 56,12,29 is 1 .

LCM of Denominators means LCM of 54,63,593 as per the given fractions.

LCM of 54,63,593 is 224154 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 56,12,29

GCF of Fractions 56/54,12/63,29/593 is 1/224154

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

Greatest Common Factor of 56,12,29 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,12,29 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 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Greatest Common Factor

We found the factors 56,12,29 . The biggest common factor number is the GCF number.
So the greatest common factor 56,12,29 is 1.

Lets's calculate LCM of 54,63,593

3 54, 63, 593
3 18, 21, 593
6, 7, 593

∴ So the LCM of the given numbers is 3 x 3 x 6 x 7 x 593 = 224154

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/224154

Therefore, the GCF of Fractions 56/54,12/63,29/593 is 1/224154

Least Common Multiple of 54,63,593 with GCF Formula

Least Common Multiple of 54,63,593 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 54,63,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,63,593) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(54,63,593) x common factors =1 x 9 = 9

LCM(54,63,593) = ( 54 × 63 × 593 ) / 9

LCM(54,63,593) = 2017386 / 9

LCM(54,63,593) = 224154


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 56/54, 12/63, 29/593

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 56/54, 12/63, 29/593?

Answer: GCF of Numerators as per given numbers 56/54, 12/63, 29/593 is

GCF of Numerators i.e. for 56,12,29 is 1

LCM of denominators i.e. for 54,63,593 is 224154.

Thus, GCF of Fractions is 1/224154.Finally, GCF of Fractions for 56/54, 12/63, 29/593 is 1/224154.