Greatest Common Factor of 9971/677, 5512/192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9971/677, 5512/192

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 9971/677,5512/192

Given fractions are 9971/677,5512/192

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 9971,5512

Greatest Common Factor of Numerators i.e. GCF of 9971,5512 is 13 .

LCM of Denominators means LCM of 677,192 as per the given fractions.

LCM of 677,192 is 129984 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9971,5512

GCF of Fractions 9971/677,5512/192 is 13/129984

13 9971, 5512
767, 424

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 9971,5512 By Matching Biggest Common Factor Method

Greatest Common Factor of 9971,5512 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 5512

List of positive integer factors of 5512 that divides 5512 without a remainder.

1,2,4,8,13,26,52,53,104,106,212,424,689,1378,2756,5512

Greatest Common Factor

We found the factors 9971,5512 . The biggest common factor number is the GCF number.
So the greatest common factor 9971,5512 is 13.

Lets's calculate LCM of 677,192

Given numbers has no common factors except 1. So, there LCM is their product i.e 129984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/129984

Therefore, the GCF of Fractions 9971/677,5512/192 is 13/129984

Least Common Multiple of 677,192 with GCF Formula

Least Common Multiple of 677,192 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 677,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(677,192) = 1

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

GCF(677,192) x common factors =1 x 1 = 1

LCM(677,192) = ( 677 × 192 ) / 1

LCM(677,192) = 129984 / 1

LCM(677,192) = 129984


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 9971/677, 5512/192

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 9971/677, 5512/192?

Answer: GCF of Numerators as per given numbers 9971/677, 5512/192 is

GCF of Numerators i.e. for 9971,5512 is 13

LCM of denominators i.e. for 677,192 is 129984.

Thus, GCF of Fractions is 13/129984.Finally, GCF of Fractions for 9971/677, 5512/192 is 13/129984.