Greatest Common Factor of 5192/382, 9097/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5192/382, 9097/962

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 5192/382,9097/962

Given fractions are 5192/382,9097/962

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 5192,9097

Greatest Common Factor of Numerators i.e. GCF of 5192,9097 is 11 .

LCM of Denominators means LCM of 382,962 as per the given fractions.

LCM of 382,962 is 183742 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5192,9097

GCF of Fractions 5192/382,9097/962 is 11/183742

11 5192, 9097
472, 827

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 5192,9097 By Matching Biggest Common Factor Method

Greatest Common Factor of 5192,9097 By Matching Biggest Common Factor Method

Factors of 5192

List of positive integer factors of 5192 that divides 5192 without a remainder.

1,2,4,8,11,22,44,59,88,118,236,472,649,1298,2596,5192

Factors of 9097

List of positive integer factors of 9097 that divides 9097 without a remainder.

1,11,827,9097

Greatest Common Factor

We found the factors 5192,9097 . The biggest common factor number is the GCF number.
So the greatest common factor 5192,9097 is 11.

Lets's calculate LCM of 382,962

2 382, 962
191, 481

∴ So the LCM of the given numbers is 2 x 191 x 481 = 183742

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/183742

Therefore, the GCF of Fractions 5192/382,9097/962 is 11/183742

Least Common Multiple of 382,962 with GCF Formula

Least Common Multiple of 382,962 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 382,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(382,962) = 2

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

GCF(382,962) x common factors =2 x 1 = 2

LCM(382,962) = ( 382 × 962 ) / 2

LCM(382,962) = 367484 / 2

LCM(382,962) = 183742


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 5192/382, 9097/962

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 5192/382, 9097/962?

Answer: GCF of Numerators as per given numbers 5192/382, 9097/962 is

GCF of Numerators i.e. for 5192,9097 is 11

LCM of denominators i.e. for 382,962 is 183742.

Thus, GCF of Fractions is 11/183742.Finally, GCF of Fractions for 5192/382, 9097/962 is 11/183742.