Greatest Common Factor of 9971/264, 6106/836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9971/264, 6106/836

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 9971/264,6106/836

Given fractions are 9971/264,6106/836

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 9971,6106

Greatest Common Factor of Numerators i.e. GCF of 9971,6106 is 1 .

LCM of Denominators means LCM of 264,836 as per the given fractions.

LCM of 264,836 is 5016 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9971,6106

GCF of Fractions 9971/264,6106/836 is 1/5016

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

Greatest Common Factor of 9971,6106 By Matching Biggest Common Factor Method

Greatest Common Factor of 9971,6106 By Matching Biggest Common Factor Method

Factors of 9971

List of positive integer factors of 9971 that divides 9971 without a remainder.

1,13,59,169,767,9971

Factors of 6106

List of positive integer factors of 6106 that divides 6106 without a remainder.

1,2,43,71,86,142,3053,6106

Greatest Common Factor

We found the factors 9971,6106 . The biggest common factor number is the GCF number.
So the greatest common factor 9971,6106 is 1.

Lets's calculate LCM of 264,836

2 264, 836
2 132, 418
11 66, 209
6, 19

∴ So the LCM of the given numbers is 2 x 2 x 11 x 6 x 19 = 5016

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5016

Therefore, the GCF of Fractions 9971/264,6106/836 is 1/5016

Least Common Multiple of 264,836 with GCF Formula

Least Common Multiple of 264,836 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 264,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,836) = 44

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

GCF(264,836) x common factors =44 x 1 = 44

LCM(264,836) = ( 264 × 836 ) / 44

LCM(264,836) = 220704 / 44

LCM(264,836) = 5016


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 9971/264, 6106/836

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 9971/264, 6106/836?

Answer: GCF of Numerators as per given numbers 9971/264, 6106/836 is

GCF of Numerators i.e. for 9971,6106 is 1

LCM of denominators i.e. for 264,836 is 5016.

Thus, GCF of Fractions is 1/5016.Finally, GCF of Fractions for 9971/264, 6106/836 is 1/5016.