Greatest Common Factor of 9627/686, 2799/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9627/686, 2799/135

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 9627/686,2799/135

Given fractions are 9627/686,2799/135

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 9627,2799

Greatest Common Factor of Numerators i.e. GCF of 9627,2799 is 3 .

LCM of Denominators means LCM of 686,135 as per the given fractions.

LCM of 686,135 is 92610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9627,2799

GCF of Fractions 9627/686,2799/135 is 3/92610

3 9627, 2799
3209, 933

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9627,2799 By Matching Biggest Common Factor Method

Greatest Common Factor of 9627,2799 By Matching Biggest Common Factor Method

Factors of 9627

List of positive integer factors of 9627 that divides 9627 without a remainder.

1,3,3209,9627

Factors of 2799

List of positive integer factors of 2799 that divides 2799 without a remainder.

1,3,9,311,933,2799

Greatest Common Factor

We found the factors 9627,2799 . The biggest common factor number is the GCF number.
So the greatest common factor 9627,2799 is 3.

Lets's calculate LCM of 686,135

Given numbers has no common factors except 1. So, there LCM is their product i.e 92610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/92610

Therefore, the GCF of Fractions 9627/686,2799/135 is 3/92610

Least Common Multiple of 686,135 with GCF Formula

Least Common Multiple of 686,135 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 686,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,135) = 1

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

GCF(686,135) x common factors =1 x 1 = 1

LCM(686,135) = ( 686 × 135 ) / 1

LCM(686,135) = 92610 / 1

LCM(686,135) = 92610


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 9627/686, 2799/135

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 9627/686, 2799/135?

Answer: GCF of Numerators as per given numbers 9627/686, 2799/135 is

GCF of Numerators i.e. for 9627,2799 is 3

LCM of denominators i.e. for 686,135 is 92610.

Thus, GCF of Fractions is 3/92610.Finally, GCF of Fractions for 9627/686, 2799/135 is 3/92610.