Greatest Common Factor of 442/54, 3678/217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 442/54, 3678/217

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 442/54,3678/217

Given fractions are 442/54,3678/217

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 442,3678

Greatest Common Factor of Numerators i.e. GCF of 442,3678 is 2 .

LCM of Denominators means LCM of 54,217 as per the given fractions.

LCM of 54,217 is 11718 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 442,3678

GCF of Fractions 442/54,3678/217 is 2/11718

2 442, 3678
221, 1839

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 442,3678 By Matching Biggest Common Factor Method

Greatest Common Factor of 442,3678 By Matching Biggest Common Factor Method

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 3678

List of positive integer factors of 3678 that divides 3678 without a remainder.

1,2,3,6,613,1226,1839,3678

Greatest Common Factor

We found the factors 442,3678 . The biggest common factor number is the GCF number.
So the greatest common factor 442,3678 is 2.

Lets's calculate LCM of 54,217

Given numbers has no common factors except 1. So, there LCM is their product i.e 11718

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11718

Therefore, the GCF of Fractions 442/54,3678/217 is 2/11718

Least Common Multiple of 54,217 with GCF Formula

Least Common Multiple of 54,217 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 54,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,217) = 1

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

GCF(54,217) x common factors =1 x 1 = 1

LCM(54,217) = ( 54 × 217 ) / 1

LCM(54,217) = 11718 / 1

LCM(54,217) = 11718


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 442/54, 3678/217

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 442/54, 3678/217?

Answer: GCF of Numerators as per given numbers 442/54, 3678/217 is

GCF of Numerators i.e. for 442,3678 is 2

LCM of denominators i.e. for 54,217 is 11718.

Thus, GCF of Fractions is 2/11718.Finally, GCF of Fractions for 442/54, 3678/217 is 2/11718.