Greatest Common Factor of 43/358, 172/293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 43/358, 172/293

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 43/358,172/293

Given fractions are 43/358,172/293

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 43,172

Greatest Common Factor of Numerators i.e. GCF of 43,172 is 43 .

LCM of Denominators means LCM of 358,293 as per the given fractions.

LCM of 358,293 is 104894 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 43,172

GCF of Fractions 43/358,172/293 is 43/104894

43 43, 172
1, 4

∴ So the GCF of the given numbers is 43 = 43

Greatest Common Factor of 43,172 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,172 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

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 43,172 . The biggest common factor number is the GCF number.
So the greatest common factor 43,172 is 43.

Lets's calculate LCM of 358,293

Given numbers has no common factors except 1. So, there LCM is their product i.e 104894

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/104894

Therefore, the GCF of Fractions 43/358,172/293 is 43/104894

Least Common Multiple of 358,293 with GCF Formula

Least Common Multiple of 358,293 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 358,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(358,293) = 1

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

GCF(358,293) x common factors =1 x 1 = 1

LCM(358,293) = ( 358 × 293 ) / 1

LCM(358,293) = 104894 / 1

LCM(358,293) = 104894


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 43/358, 172/293

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 43/358, 172/293?

Answer: GCF of Numerators as per given numbers 43/358, 172/293 is

GCF of Numerators i.e. for 43,172 is 43

LCM of denominators i.e. for 358,293 is 104894.

Thus, GCF of Fractions is 43/104894.Finally, GCF of Fractions for 43/358, 172/293 is 43/104894.