Greatest Common Factor of 38/52, 29/782, 179/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/52, 29/782, 179/524

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 38/52,29/782,179/524

Given fractions are 38/52,29/782,179/524

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 38,29,179

Greatest Common Factor of Numerators i.e. GCF of 38,29,179 is 1 .

LCM of Denominators means LCM of 52,782,524 as per the given fractions.

LCM of 52,782,524 is 2663492 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,29,179

GCF of Fractions 38/52,29/782,179/524 is 1/2663492

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 38,29,179 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,29,179 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 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 179

List of positive integer factors of 179 that divides 179 without a remainder.

1,179

Greatest Common Factor

We found the factors 38,29,179 . The biggest common factor number is the GCF number.
So the greatest common factor 38,29,179 is 1.

Lets's calculate LCM of 52,782,524

2 52, 782, 524
2 26, 391, 262
13, 391, 131

∴ So the LCM of the given numbers is 2 x 2 x 13 x 391 x 131 = 2663492

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2663492

Therefore, the GCF of Fractions 38/52,29/782,179/524 is 1/2663492

Least Common Multiple of 52,782,524 with GCF Formula

Least Common Multiple of 52,782,524 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 52,782,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,782,524) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(52,782,524) x common factors =2 x 4 = 8

LCM(52,782,524) = ( 52 × 782 × 524 ) / 8

LCM(52,782,524) = 21307936 / 8

LCM(52,782,524) = 2663492


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 38/52, 29/782, 179/524

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 38/52, 29/782, 179/524?

Answer: GCF of Numerators as per given numbers 38/52, 29/782, 179/524 is

GCF of Numerators i.e. for 38,29,179 is 1

LCM of denominators i.e. for 52,782,524 is 2663492.

Thus, GCF of Fractions is 1/2663492.Finally, GCF of Fractions for 38/52, 29/782, 179/524 is 1/2663492.