Greatest Common Factor of 6/32, 29/78, 80/471, 591/786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/32, 29/78, 80/471, 591/786

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 6/32,29/78,80/471,591/786

Given fractions are 6/32,29/78,80/471,591/786

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 6,29,80,591

Greatest Common Factor of Numerators i.e. GCF of 6,29,80,591 is 1 .

LCM of Denominators means LCM of 32,78,471,786 as per the given fractions.

LCM of 32,78,471,786 is 25667616 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,29,80,591

GCF of Fractions 6/32,29/78,80/471,591/786 is 1/25667616

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

Greatest Common Factor of 6,29,80,591 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,29,80,591 By Matching Biggest Common Factor Method

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

Factors of 29

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

1,29

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Greatest Common Factor

We found the factors 6,29,80,591 . The biggest common factor number is the GCF number.
So the greatest common factor 6,29,80,591 is 1.

Lets's calculate LCM of 32,78,471,786

2 32, 78, 471, 786
3 16, 39, 471, 393
16, 13, 157, 131

∴ So the LCM of the given numbers is 2 x 3 x 16 x 13 x 157 x 131 = 25667616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25667616

Therefore, the GCF of Fractions 6/32,29/78,80/471,591/786 is 1/25667616

Least Common Multiple of 32,78,471,786 with GCF Formula

Least Common Multiple of 32,78,471,786 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 32,78,471,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,78,471,786) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(32,78,471,786) x common factors =1 x 36 = 36

LCM(32,78,471,786) = ( 32 × 78 × 471 × 786 ) / 36

LCM(32,78,471,786) = 924034176 / 36

LCM(32,78,471,786) = 25667616


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 6/32, 29/78, 80/471, 591/786

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 6/32, 29/78, 80/471, 591/786?

Answer: GCF of Numerators as per given numbers 6/32, 29/78, 80/471, 591/786 is

GCF of Numerators i.e. for 6,29,80,591 is 1

LCM of denominators i.e. for 32,78,471,786 is 25667616.

Thus, GCF of Fractions is 1/25667616.Finally, GCF of Fractions for 6/32, 29/78, 80/471, 591/786 is 1/25667616.