Greatest Common Factor of 6/96, 79/40, 25/115, 255/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/96, 79/40, 25/115, 255/513

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 6/96,79/40,25/115,255/513

Given fractions are 6/96,79/40,25/115,255/513

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 6,79,25,255

Greatest Common Factor of Numerators i.e. GCF of 6,79,25,255 is 1 .

LCM of Denominators means LCM of 96,40,115,513 as per the given fractions.

LCM of 96,40,115,513 is 1887840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,79,25,255

GCF of Fractions 6/96,79/40,25/115,255/513 is 1/1887840

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

Greatest Common Factor of 6,79,25,255 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,79,25,255 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 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Greatest Common Factor

We found the factors 6,79,25,255 . The biggest common factor number is the GCF number.
So the greatest common factor 6,79,25,255 is 1.

Lets's calculate LCM of 96,40,115,513

2 96, 40, 115, 513
2 48, 20, 115, 513
2 24, 10, 115, 513
3 12, 5, 115, 513
5 4, 5, 115, 171
4, 1, 23, 171

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 4 x 1 x 23 x 171 = 1887840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1887840

Therefore, the GCF of Fractions 6/96,79/40,25/115,255/513 is 1/1887840

Least Common Multiple of 96,40,115,513 with GCF Formula

Least Common Multiple of 96,40,115,513 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 96,40,115,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,40,115,513) = 1

common factors(in case of two or more numbers have common factors) = 120

GCF(96,40,115,513) x common factors =1 x 120 = 120

LCM(96,40,115,513) = ( 96 × 40 × 115 × 513 ) / 120

LCM(96,40,115,513) = 226540800 / 120

LCM(96,40,115,513) = 1887840


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 6/96, 79/40, 25/115, 255/513

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 6/96, 79/40, 25/115, 255/513?

Answer: GCF of Numerators as per given numbers 6/96, 79/40, 25/115, 255/513 is

GCF of Numerators i.e. for 6,79,25,255 is 1

LCM of denominators i.e. for 96,40,115,513 is 1887840.

Thus, GCF of Fractions is 1/1887840.Finally, GCF of Fractions for 6/96, 79/40, 25/115, 255/513 is 1/1887840.