Greatest Common Factor of 27/185, 9678/3486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/185, 9678/3486

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 27/185,9678/3486

Given fractions are 27/185,9678/3486

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 27,9678

Greatest Common Factor of Numerators i.e. GCF of 27,9678 is 3 .

LCM of Denominators means LCM of 185,3486 as per the given fractions.

LCM of 185,3486 is 644910 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,9678

GCF of Fractions 27/185,9678/3486 is 3/644910

3 27, 9678
9, 3226

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

Greatest Common Factor of 27,9678 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,9678 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 9678

List of positive integer factors of 9678 that divides 9678 without a remainder.

1,2,3,6,1613,3226,4839,9678

Greatest Common Factor

We found the factors 27,9678 . The biggest common factor number is the GCF number.
So the greatest common factor 27,9678 is 3.

Lets's calculate LCM of 185,3486

Given numbers has no common factors except 1. So, there LCM is their product i.e 644910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/644910

Therefore, the GCF of Fractions 27/185,9678/3486 is 3/644910

Least Common Multiple of 185,3486 with GCF Formula

Least Common Multiple of 185,3486 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 185,3486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(185,3486) = 1

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

GCF(185,3486) x common factors =1 x 1 = 1

LCM(185,3486) = ( 185 × 3486 ) / 1

LCM(185,3486) = 644910 / 1

LCM(185,3486) = 644910


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 27/185, 9678/3486

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 27/185, 9678/3486?

Answer: GCF of Numerators as per given numbers 27/185, 9678/3486 is

GCF of Numerators i.e. for 27,9678 is 3

LCM of denominators i.e. for 185,3486 is 644910.

Thus, GCF of Fractions is 3/644910.Finally, GCF of Fractions for 27/185, 9678/3486 is 3/644910.