Greatest Common Factor of 9796/605, 6671/979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 9796/605, 6671/979

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 9796/605,6671/979

Given fractions are 9796/605,6671/979

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 9796,6671

Greatest Common Factor of Numerators i.e. GCF of 9796,6671 is 1 .

LCM of Denominators means LCM of 605,979 as per the given fractions.

LCM of 605,979 is 53845 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9796,6671

GCF of Fractions 9796/605,6671/979 is 1/53845

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

Greatest Common Factor of 9796,6671 By Matching Biggest Common Factor Method

Greatest Common Factor of 9796,6671 By Matching Biggest Common Factor Method

Factors of 9796

List of positive integer factors of 9796 that divides 9796 without a remainder.

1,2,4,31,62,79,124,158,316,2449,4898,9796

Factors of 6671

List of positive integer factors of 6671 that divides 6671 without a remainder.

1,7,953,6671

Greatest Common Factor

We found the factors 9796,6671 . The biggest common factor number is the GCF number.
So the greatest common factor 9796,6671 is 1.


Lets's calculate LCM of 605,979

11 605, 979
55, 89

∴ So the LCM of the given numbers is 11 x 55 x 89 = 53845

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53845

Therefore, the GCF of Fractions 9796/605,6671/979 is 1/53845

Least Common Multiple of 605,979 with GCF Formula

Least Common Multiple of 605,979 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 605,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(605,979) = 11

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

GCF(605,979) x common factors =11 x 1 = 11

LCM(605,979) = ( 605 × 979 ) / 11

LCM(605,979) = 592295 / 11

LCM(605,979) = 53845


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 9796/605, 6671/979

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 9796/605, 6671/979?

Answer: GCF of Numerators as per given numbers 9796/605, 6671/979 is

GCF of Numerators i.e. for 9796,6671 is 1

LCM of denominators i.e. for 605,979 is 53845.

Thus, GCF of Fractions is 1/53845.Finally, GCF of Fractions for 9796/605, 6671/979 is 1/53845.