Greatest Common Factor of 135/212, 6681/9784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 135/212, 6681/9784

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 135/212,6681/9784

Given fractions are 135/212,6681/9784

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 135,6681

Greatest Common Factor of Numerators i.e. GCF of 135,6681 is 3 .

LCM of Denominators means LCM of 212,9784 as per the given fractions.

LCM of 212,9784 is 518552 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 135,6681

GCF of Fractions 135/212,6681/9784 is 3/518552

3 135, 6681
45, 2227

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

Greatest Common Factor of 135,6681 By Matching Biggest Common Factor Method

Greatest Common Factor of 135,6681 By Matching Biggest Common Factor Method

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Factors of 6681

List of positive integer factors of 6681 that divides 6681 without a remainder.

1,3,17,51,131,393,2227,6681

Greatest Common Factor

We found the factors 135,6681 . The biggest common factor number is the GCF number.
So the greatest common factor 135,6681 is 3.

Lets's calculate LCM of 212,9784

2 212, 9784
2 106, 4892
53, 2446

∴ So the LCM of the given numbers is 2 x 2 x 53 x 2446 = 518552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/518552

Therefore, the GCF of Fractions 135/212,6681/9784 is 3/518552

Least Common Multiple of 212,9784 with GCF Formula

Least Common Multiple of 212,9784 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 212,9784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,9784) = 4

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

GCF(212,9784) x common factors =4 x 1 = 4

LCM(212,9784) = ( 212 × 9784 ) / 4

LCM(212,9784) = 2074208 / 4

LCM(212,9784) = 518552


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 135/212, 6681/9784

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 135/212, 6681/9784?

Answer: GCF of Numerators as per given numbers 135/212, 6681/9784 is

GCF of Numerators i.e. for 135,6681 is 3

LCM of denominators i.e. for 212,9784 is 518552.

Thus, GCF of Fractions is 3/518552.Finally, GCF of Fractions for 135/212, 6681/9784 is 3/518552.