Greatest Common Factor of 6204/301, 9897/1277

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6204/301, 9897/1277

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 6204/301,9897/1277

Given fractions are 6204/301,9897/1277

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 6204,9897

Greatest Common Factor of Numerators i.e. GCF of 6204,9897 is 3 .

LCM of Denominators means LCM of 301,1277 as per the given fractions.

LCM of 301,1277 is 384377 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6204,9897

GCF of Fractions 6204/301,9897/1277 is 3/384377

3 6204, 9897
2068, 3299

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 6204,9897 By Matching Biggest Common Factor Method

Greatest Common Factor of 6204,9897 By Matching Biggest Common Factor Method

Factors of 6204

List of positive integer factors of 6204 that divides 6204 without a remainder.

1,2,3,4,6,11,12,22,33,44,47,66,94,132,141,188,282,517,564,1034,1551,2068,3102,6204

Factors of 9897

List of positive integer factors of 9897 that divides 9897 without a remainder.

1,3,3299,9897

Greatest Common Factor

We found the factors 6204,9897 . The biggest common factor number is the GCF number.
So the greatest common factor 6204,9897 is 3.

Lets's calculate LCM of 301,1277

Given numbers has no common factors except 1. So, there LCM is their product i.e 384377

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/384377

Therefore, the GCF of Fractions 6204/301,9897/1277 is 3/384377

Least Common Multiple of 301,1277 with GCF Formula

Least Common Multiple of 301,1277 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 301,1277 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(301,1277) = 1

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

GCF(301,1277) x common factors =1 x 1 = 1

LCM(301,1277) = ( 301 × 1277 ) / 1

LCM(301,1277) = 384377 / 1

LCM(301,1277) = 384377


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 6204/301, 9897/1277

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 6204/301, 9897/1277?

Answer: GCF of Numerators as per given numbers 6204/301, 9897/1277 is

GCF of Numerators i.e. for 6204,9897 is 3

LCM of denominators i.e. for 301,1277 is 384377.

Thus, GCF of Fractions is 3/384377.Finally, GCF of Fractions for 6204/301, 9897/1277 is 3/384377.