Greatest Common Factor of 56/46, 19/96, 479/628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 56/46, 19/96, 479/628

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 56/46,19/96,479/628

Given fractions are 56/46,19/96,479/628

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 56,19,479

Greatest Common Factor of Numerators i.e. GCF of 56,19,479 is 1 .

LCM of Denominators means LCM of 46,96,628 as per the given fractions.

LCM of 46,96,628 is 346656 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 56,19,479

GCF of Fractions 56/46,19/96,479/628 is 1/346656

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

Greatest Common Factor of 56,19,479 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,19,479 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 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 479

List of positive integer factors of 479 that divides 479 without a remainder.

1,479

Greatest Common Factor

We found the factors 56,19,479 . The biggest common factor number is the GCF number.
So the greatest common factor 56,19,479 is 1.

Lets's calculate LCM of 46,96,628

2 46, 96, 628
2 23, 48, 314
23, 24, 157

∴ So the LCM of the given numbers is 2 x 2 x 23 x 24 x 157 = 346656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/346656

Therefore, the GCF of Fractions 56/46,19/96,479/628 is 1/346656

Least Common Multiple of 46,96,628 with GCF Formula

Least Common Multiple of 46,96,628 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 46,96,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,96,628) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(46,96,628) x common factors =2 x 4 = 8

LCM(46,96,628) = ( 46 × 96 × 628 ) / 8

LCM(46,96,628) = 2773248 / 8

LCM(46,96,628) = 346656


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 56/46, 19/96, 479/628

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 56/46, 19/96, 479/628?

Answer: GCF of Numerators as per given numbers 56/46, 19/96, 479/628 is

GCF of Numerators i.e. for 56,19,479 is 1

LCM of denominators i.e. for 46,96,628 is 346656.

Thus, GCF of Fractions is 1/346656.Finally, GCF of Fractions for 56/46, 19/96, 479/628 is 1/346656.