Greatest Common Factor of 5387/965, 9767/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5387/965, 9767/204

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 5387/965,9767/204

Given fractions are 5387/965,9767/204

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 5387,9767

Greatest Common Factor of Numerators i.e. GCF of 5387,9767 is 1 .

LCM of Denominators means LCM of 965,204 as per the given fractions.

LCM of 965,204 is 196860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5387,9767

GCF of Fractions 5387/965,9767/204 is 1/196860

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

Greatest Common Factor of 5387,9767 By Matching Biggest Common Factor Method

Greatest Common Factor of 5387,9767 By Matching Biggest Common Factor Method

Factors of 5387

List of positive integer factors of 5387 that divides 5387 without a remainder.

1,5387

Factors of 9767

List of positive integer factors of 9767 that divides 9767 without a remainder.

1,9767

Greatest Common Factor

We found the factors 5387,9767 . The biggest common factor number is the GCF number.
So the greatest common factor 5387,9767 is 1.

Lets's calculate LCM of 965,204

Given numbers has no common factors except 1. So, there LCM is their product i.e 196860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/196860

Therefore, the GCF of Fractions 5387/965,9767/204 is 1/196860

Least Common Multiple of 965,204 with GCF Formula

Least Common Multiple of 965,204 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 965,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(965,204) = 1

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

GCF(965,204) x common factors =1 x 1 = 1

LCM(965,204) = ( 965 × 204 ) / 1

LCM(965,204) = 196860 / 1

LCM(965,204) = 196860


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 5387/965, 9767/204

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 5387/965, 9767/204?

Answer: GCF of Numerators as per given numbers 5387/965, 9767/204 is

GCF of Numerators i.e. for 5387,9767 is 1

LCM of denominators i.e. for 965,204 is 196860.

Thus, GCF of Fractions is 1/196860.Finally, GCF of Fractions for 5387/965, 9767/204 is 1/196860.