Greatest Common Factor of 642/13, 7595/666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 642/13, 7595/666

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 642/13,7595/666

Given fractions are 642/13,7595/666

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 642,7595

Greatest Common Factor of Numerators i.e. GCF of 642,7595 is 1 .

LCM of Denominators means LCM of 13,666 as per the given fractions.

LCM of 13,666 is 8658 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 642,7595

GCF of Fractions 642/13,7595/666 is 1/8658

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

Greatest Common Factor of 642,7595 By Matching Biggest Common Factor Method

Greatest Common Factor of 642,7595 By Matching Biggest Common Factor Method

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 7595

List of positive integer factors of 7595 that divides 7595 without a remainder.

1,5,7,31,35,49,155,217,245,1085,1519,7595

Greatest Common Factor

We found the factors 642,7595 . The biggest common factor number is the GCF number.
So the greatest common factor 642,7595 is 1.

Lets's calculate LCM of 13,666

Given numbers has no common factors except 1. So, there LCM is their product i.e 8658

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8658

Therefore, the GCF of Fractions 642/13,7595/666 is 1/8658

Least Common Multiple of 13,666 with GCF Formula

Least Common Multiple of 13,666 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 13,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,666) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(13,666) x common factors =1 x 1 = 1

LCM(13,666) = ( 13 × 666 ) / 1

LCM(13,666) = 8658 / 1

LCM(13,666) = 8658


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 642/13, 7595/666

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 642/13, 7595/666?

Answer: GCF of Numerators as per given numbers 642/13, 7595/666 is

GCF of Numerators i.e. for 642,7595 is 1

LCM of denominators i.e. for 13,666 is 8658.

Thus, GCF of Fractions is 1/8658.Finally, GCF of Fractions for 642/13, 7595/666 is 1/8658.