Greatest Common Factor of 2725/327, 9462/6076

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2725/327, 9462/6076

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 2725/327,9462/6076

Given fractions are 2725/327,9462/6076

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 2725,9462

Greatest Common Factor of Numerators i.e. GCF of 2725,9462 is 1 .

LCM of Denominators means LCM of 327,6076 as per the given fractions.

LCM of 327,6076 is 1986852 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2725,9462

GCF of Fractions 2725/327,9462/6076 is 1/1986852

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

Greatest Common Factor of 2725,9462 By Matching Biggest Common Factor Method

Greatest Common Factor of 2725,9462 By Matching Biggest Common Factor Method

Factors of 2725

List of positive integer factors of 2725 that divides 2725 without a remainder.

1,5,25,109,545,2725

Factors of 9462

List of positive integer factors of 9462 that divides 9462 without a remainder.

1,2,3,6,19,38,57,83,114,166,249,498,1577,3154,4731,9462

Greatest Common Factor

We found the factors 2725,9462 . The biggest common factor number is the GCF number.
So the greatest common factor 2725,9462 is 1.

Lets's calculate LCM of 327,6076

Given numbers has no common factors except 1. So, there LCM is their product i.e 1986852

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1986852

Therefore, the GCF of Fractions 2725/327,9462/6076 is 1/1986852

Least Common Multiple of 327,6076 with GCF Formula

Least Common Multiple of 327,6076 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 327,6076 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(327,6076) = 1

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

GCF(327,6076) x common factors =1 x 1 = 1

LCM(327,6076) = ( 327 × 6076 ) / 1

LCM(327,6076) = 1986852 / 1

LCM(327,6076) = 1986852


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 2725/327, 9462/6076

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 2725/327, 9462/6076?

Answer: GCF of Numerators as per given numbers 2725/327, 9462/6076 is

GCF of Numerators i.e. for 2725,9462 is 1

LCM of denominators i.e. for 327,6076 is 1986852.

Thus, GCF of Fractions is 1/1986852.Finally, GCF of Fractions for 2725/327, 9462/6076 is 1/1986852.