Greatest Common Factor of 536/32, 342/40, 296/613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 536/32, 342/40, 296/613

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 536/32,342/40,296/613

Given fractions are 536/32,342/40,296/613

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 536,342,296

Greatest Common Factor of Numerators i.e. GCF of 536,342,296 is 2 .

LCM of Denominators means LCM of 32,40,613 as per the given fractions.

LCM of 32,40,613 is 98080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 536,342,296

GCF of Fractions 536/32,342/40,296/613 is 2/98080

2 536, 342, 296
268, 171, 148

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

Greatest Common Factor of 536,342,296 By Matching Biggest Common Factor Method

Greatest Common Factor of 536,342,296 By Matching Biggest Common Factor Method

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Greatest Common Factor

We found the factors 536,342,296 . The biggest common factor number is the GCF number.
So the greatest common factor 536,342,296 is 2.

Lets's calculate LCM of 32,40,613

2 32, 40, 613
2 16, 20, 613
2 8, 10, 613
4, 5, 613

∴ So the LCM of the given numbers is 2 x 2 x 2 x 4 x 5 x 613 = 98080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/98080

Therefore, the GCF of Fractions 536/32,342/40,296/613 is 2/98080

Least Common Multiple of 32,40,613 with GCF Formula

Least Common Multiple of 32,40,613 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 32,40,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,40,613) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(32,40,613) x common factors =1 x 8 = 8

LCM(32,40,613) = ( 32 × 40 × 613 ) / 8

LCM(32,40,613) = 784640 / 8

LCM(32,40,613) = 98080


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 536/32, 342/40, 296/613

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 536/32, 342/40, 296/613?

Answer: GCF of Numerators as per given numbers 536/32, 342/40, 296/613 is

GCF of Numerators i.e. for 536,342,296 is 2

LCM of denominators i.e. for 32,40,613 is 98080.

Thus, GCF of Fractions is 2/98080.Finally, GCF of Fractions for 536/32, 342/40, 296/613 is 2/98080.