Greatest Common Factor of 5/76, 68/32, 64/415, 500/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/76, 68/32, 64/415, 500/642

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 5/76,68/32,64/415,500/642

Given fractions are 5/76,68/32,64/415,500/642

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 5,68,64,500

Greatest Common Factor of Numerators i.e. GCF of 5,68,64,500 is 1 .

LCM of Denominators means LCM of 76,32,415,642 as per the given fractions.

LCM of 76,32,415,642 is 80994720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,68,64,500

GCF of Fractions 5/76,68/32,64/415,500/642 is 1/80994720

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

Greatest Common Factor of 5,68,64,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,68,64,500 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 5,68,64,500 . The biggest common factor number is the GCF number.
So the greatest common factor 5,68,64,500 is 1.

Lets's calculate LCM of 76,32,415,642

2 76, 32, 415, 642
2 38, 16, 415, 321
19, 8, 415, 321

∴ So the LCM of the given numbers is 2 x 2 x 19 x 8 x 415 x 321 = 80994720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80994720

Therefore, the GCF of Fractions 5/76,68/32,64/415,500/642 is 1/80994720

Least Common Multiple of 76,32,415,642 with GCF Formula

Least Common Multiple of 76,32,415,642 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 76,32,415,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,32,415,642) = 1

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

GCF(76,32,415,642) x common factors =1 x 8 = 8

LCM(76,32,415,642) = ( 76 × 32 × 415 × 642 ) / 8

LCM(76,32,415,642) = 647957760 / 8

LCM(76,32,415,642) = 80994720


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 5/76, 68/32, 64/415, 500/642

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 5/76, 68/32, 64/415, 500/642?

Answer: GCF of Numerators as per given numbers 5/76, 68/32, 64/415, 500/642 is

GCF of Numerators i.e. for 5,68,64,500 is 1

LCM of denominators i.e. for 76,32,415,642 is 80994720.

Thus, GCF of Fractions is 1/80994720.Finally, GCF of Fractions for 5/76, 68/32, 64/415, 500/642 is 1/80994720.