Greatest Common Factor of 438/29, 271/15, 172/111

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 438/29, 271/15, 172/111

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 438/29,271/15,172/111

Given fractions are 438/29,271/15,172/111

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 438,271,172

Greatest Common Factor of Numerators i.e. GCF of 438,271,172 is 1 .

LCM of Denominators means LCM of 29,15,111 as per the given fractions.

LCM of 29,15,111 is 16095 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 438,271,172

GCF of Fractions 438/29,271/15,172/111 is 1/16095

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

Greatest Common Factor of 438,271,172 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,271,172 By Matching Biggest Common Factor Method

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Greatest Common Factor

We found the factors 438,271,172 . The biggest common factor number is the GCF number.
So the greatest common factor 438,271,172 is 1.

Lets's calculate LCM of 29,15,111

3 29, 15, 111
29, 5, 37

∴ So the LCM of the given numbers is 3 x 29 x 5 x 37 = 16095

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16095

Therefore, the GCF of Fractions 438/29,271/15,172/111 is 1/16095

Least Common Multiple of 29,15,111 with GCF Formula

Least Common Multiple of 29,15,111 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 29,15,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,15,111) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(29,15,111) x common factors =1 x 3 = 3

LCM(29,15,111) = ( 29 × 15 × 111 ) / 3

LCM(29,15,111) = 48285 / 3

LCM(29,15,111) = 16095


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 438/29, 271/15, 172/111

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 438/29, 271/15, 172/111?

Answer: GCF of Numerators as per given numbers 438/29, 271/15, 172/111 is

GCF of Numerators i.e. for 438,271,172 is 1

LCM of denominators i.e. for 29,15,111 is 16095.

Thus, GCF of Fractions is 1/16095.Finally, GCF of Fractions for 438/29, 271/15, 172/111 is 1/16095.