Greatest Common Factor of 38/67, 44/84, 540/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/67, 44/84, 540/294

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 38/67,44/84,540/294

Given fractions are 38/67,44/84,540/294

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 38,44,540

Greatest Common Factor of Numerators i.e. GCF of 38,44,540 is 2 .

LCM of Denominators means LCM of 67,84,294 as per the given fractions.

LCM of 67,84,294 is 39396 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,44,540

GCF of Fractions 38/67,44/84,540/294 is 2/39396

2 38, 44, 540
19, 22, 270

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

Greatest Common Factor of 38,44,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,44,540 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 38,44,540 . The biggest common factor number is the GCF number.
So the greatest common factor 38,44,540 is 2.

Lets's calculate LCM of 67,84,294

2 67, 84, 294
3 67, 42, 147
7 67, 14, 49
67, 2, 7

∴ So the LCM of the given numbers is 2 x 3 x 7 x 67 x 2 x 7 = 39396

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/39396

Therefore, the GCF of Fractions 38/67,44/84,540/294 is 2/39396

Least Common Multiple of 67,84,294 with GCF Formula

Least Common Multiple of 67,84,294 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 67,84,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,84,294) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(67,84,294) x common factors =1 x 42 = 42

LCM(67,84,294) = ( 67 × 84 × 294 ) / 42

LCM(67,84,294) = 1654632 / 42

LCM(67,84,294) = 39396


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 38/67, 44/84, 540/294

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 38/67, 44/84, 540/294?

Answer: GCF of Numerators as per given numbers 38/67, 44/84, 540/294 is

GCF of Numerators i.e. for 38,44,540 is 2

LCM of denominators i.e. for 67,84,294 is 39396.

Thus, GCF of Fractions is 2/39396.Finally, GCF of Fractions for 38/67, 44/84, 540/294 is 2/39396.