Greatest Common Factor of 27/975, 6582/5985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/975, 6582/5985

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 27/975,6582/5985

Given fractions are 27/975,6582/5985

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 27,6582

Greatest Common Factor of Numerators i.e. GCF of 27,6582 is 3 .

LCM of Denominators means LCM of 975,5985 as per the given fractions.

LCM of 975,5985 is 389025 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,6582

GCF of Fractions 27/975,6582/5985 is 3/389025

3 27, 6582
9, 2194

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

Greatest Common Factor of 27,6582 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,6582 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 6582

List of positive integer factors of 6582 that divides 6582 without a remainder.

1,2,3,6,1097,2194,3291,6582

Greatest Common Factor

We found the factors 27,6582 . The biggest common factor number is the GCF number.
So the greatest common factor 27,6582 is 3.

Lets's calculate LCM of 975,5985

3 975, 5985
5 325, 1995
65, 399

∴ So the LCM of the given numbers is 3 x 5 x 65 x 399 = 389025

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/389025

Therefore, the GCF of Fractions 27/975,6582/5985 is 3/389025

Least Common Multiple of 975,5985 with GCF Formula

Least Common Multiple of 975,5985 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 975,5985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,5985) = 15

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

GCF(975,5985) x common factors =15 x 1 = 15

LCM(975,5985) = ( 975 × 5985 ) / 15

LCM(975,5985) = 5835375 / 15

LCM(975,5985) = 389025


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 27/975, 6582/5985

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 27/975, 6582/5985?

Answer: GCF of Numerators as per given numbers 27/975, 6582/5985 is

GCF of Numerators i.e. for 27,6582 is 3

LCM of denominators i.e. for 975,5985 is 389025.

Thus, GCF of Fractions is 3/389025.Finally, GCF of Fractions for 27/975, 6582/5985 is 3/389025.