Greatest Common Factor of 29/35, 72/57, 41/917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 29/35, 72/57, 41/917

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 29/35,72/57,41/917

Given fractions are 29/35,72/57,41/917

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 29,72,41

Greatest Common Factor of Numerators i.e. GCF of 29,72,41 is 1 .

LCM of Denominators means LCM of 35,57,917 as per the given fractions.

LCM of 35,57,917 is 261345 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 29,72,41

GCF of Fractions 29/35,72/57,41/917 is 1/261345

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

Greatest Common Factor of 29,72,41 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,72,41 By Matching Biggest Common Factor Method

Factors of 29

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

1,29

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Greatest Common Factor

We found the factors 29,72,41 . The biggest common factor number is the GCF number.
So the greatest common factor 29,72,41 is 1.


Lets's calculate LCM of 35,57,917

7 35, 57, 917
5, 57, 131

∴ So the LCM of the given numbers is 7 x 5 x 57 x 131 = 261345

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/261345

Therefore, the GCF of Fractions 29/35,72/57,41/917 is 1/261345

Least Common Multiple of 35,57,917 with GCF Formula

Least Common Multiple of 35,57,917 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 35,57,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,57,917) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(35,57,917) x common factors =1 x 7 = 7

LCM(35,57,917) = ( 35 × 57 × 917 ) / 7

LCM(35,57,917) = 1829415 / 7

LCM(35,57,917) = 261345


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 29/35, 72/57, 41/917

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 29/35, 72/57, 41/917?

Answer: GCF of Numerators as per given numbers 29/35, 72/57, 41/917 is

GCF of Numerators i.e. for 29,72,41 is 1

LCM of denominators i.e. for 35,57,917 is 261345.

Thus, GCF of Fractions is 1/261345.Finally, GCF of Fractions for 29/35, 72/57, 41/917 is 1/261345.