Greatest Common Factor of 9599/644, 7162/959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9599/644, 7162/959

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 9599/644,7162/959

Given fractions are 9599/644,7162/959

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 9599,7162

Greatest Common Factor of Numerators i.e. GCF of 9599,7162 is 1 .

LCM of Denominators means LCM of 644,959 as per the given fractions.

LCM of 644,959 is 88228 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9599,7162

GCF of Fractions 9599/644,7162/959 is 1/88228

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

Greatest Common Factor of 9599,7162 By Matching Biggest Common Factor Method

Greatest Common Factor of 9599,7162 By Matching Biggest Common Factor Method

Factors of 9599

List of positive integer factors of 9599 that divides 9599 without a remainder.

1,29,331,9599

Factors of 7162

List of positive integer factors of 7162 that divides 7162 without a remainder.

1,2,3581,7162

Greatest Common Factor

We found the factors 9599,7162 . The biggest common factor number is the GCF number.
So the greatest common factor 9599,7162 is 1.

Lets's calculate LCM of 644,959

7 644, 959
92, 137

∴ So the LCM of the given numbers is 7 x 92 x 137 = 88228

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88228

Therefore, the GCF of Fractions 9599/644,7162/959 is 1/88228

Least Common Multiple of 644,959 with GCF Formula

Least Common Multiple of 644,959 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 644,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(644,959) = 7

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

GCF(644,959) x common factors =7 x 1 = 7

LCM(644,959) = ( 644 × 959 ) / 7

LCM(644,959) = 617596 / 7

LCM(644,959) = 88228


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 9599/644, 7162/959

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 9599/644, 7162/959?

Answer: GCF of Numerators as per given numbers 9599/644, 7162/959 is

GCF of Numerators i.e. for 9599,7162 is 1

LCM of denominators i.e. for 644,959 is 88228.

Thus, GCF of Fractions is 1/88228.Finally, GCF of Fractions for 9599/644, 7162/959 is 1/88228.