Greatest Common Factor of 36/47, 29/21, 161/843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 36/47, 29/21, 161/843

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 36/47,29/21,161/843

Given fractions are 36/47,29/21,161/843

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 36,29,161

Greatest Common Factor of Numerators i.e. GCF of 36,29,161 is 1 .

LCM of Denominators means LCM of 47,21,843 as per the given fractions.

LCM of 47,21,843 is 277347 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 36,29,161

GCF of Fractions 36/47,29/21,161/843 is 1/277347

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

Greatest Common Factor of 36,29,161 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,29,161 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 29

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

1,29

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Greatest Common Factor

We found the factors 36,29,161 . The biggest common factor number is the GCF number.
So the greatest common factor 36,29,161 is 1.

Lets's calculate LCM of 47,21,843

3 47, 21, 843
47, 7, 281

∴ So the LCM of the given numbers is 3 x 47 x 7 x 281 = 277347

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/277347

Therefore, the GCF of Fractions 36/47,29/21,161/843 is 1/277347

Least Common Multiple of 47,21,843 with GCF Formula

Least Common Multiple of 47,21,843 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 47,21,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,21,843) = 1

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

GCF(47,21,843) x common factors =1 x 3 = 3

LCM(47,21,843) = ( 47 × 21 × 843 ) / 3

LCM(47,21,843) = 832041 / 3

LCM(47,21,843) = 277347


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 36/47, 29/21, 161/843

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 36/47, 29/21, 161/843?

Answer: GCF of Numerators as per given numbers 36/47, 29/21, 161/843 is

GCF of Numerators i.e. for 36,29,161 is 1

LCM of denominators i.e. for 47,21,843 is 277347.

Thus, GCF of Fractions is 1/277347.Finally, GCF of Fractions for 36/47, 29/21, 161/843 is 1/277347.