Greatest Common Factor of 204/78, 6547/431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 204/78, 6547/431

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 204/78,6547/431

Given fractions are 204/78,6547/431

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 204,6547

Greatest Common Factor of Numerators i.e. GCF of 204,6547 is 1 .

LCM of Denominators means LCM of 78,431 as per the given fractions.

LCM of 78,431 is 33618 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 204,6547

GCF of Fractions 204/78,6547/431 is 1/33618

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

Greatest Common Factor of 204,6547 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,6547 By Matching Biggest Common Factor Method

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 6547

List of positive integer factors of 6547 that divides 6547 without a remainder.

1,6547

Greatest Common Factor

We found the factors 204,6547 . The biggest common factor number is the GCF number.
So the greatest common factor 204,6547 is 1.

Lets's calculate LCM of 78,431

Given numbers has no common factors except 1. So, there LCM is their product i.e 33618

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33618

Therefore, the GCF of Fractions 204/78,6547/431 is 1/33618

Least Common Multiple of 78,431 with GCF Formula

Least Common Multiple of 78,431 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 78,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,431) = 1

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

GCF(78,431) x common factors =1 x 1 = 1

LCM(78,431) = ( 78 × 431 ) / 1

LCM(78,431) = 33618 / 1

LCM(78,431) = 33618


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 204/78, 6547/431

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 204/78, 6547/431?

Answer: GCF of Numerators as per given numbers 204/78, 6547/431 is

GCF of Numerators i.e. for 204,6547 is 1

LCM of denominators i.e. for 78,431 is 33618.

Thus, GCF of Fractions is 1/33618.Finally, GCF of Fractions for 204/78, 6547/431 is 1/33618.