Greatest Common Factor of 29/38, 91/86, 718/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 29/38, 91/86, 718/169

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 29/38,91/86,718/169

Given fractions are 29/38,91/86,718/169

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 29,91,718

Greatest Common Factor of Numerators i.e. GCF of 29,91,718 is 1 .

LCM of Denominators means LCM of 38,86,169 as per the given fractions.

LCM of 38,86,169 is 276146 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 29,91,718

GCF of Fractions 29/38,91/86,718/169 is 1/276146

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

Greatest Common Factor of 29,91,718 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,91,718 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 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Greatest Common Factor

We found the factors 29,91,718 . The biggest common factor number is the GCF number.
So the greatest common factor 29,91,718 is 1.

Lets's calculate LCM of 38,86,169

2 38, 86, 169
19, 43, 169

∴ So the LCM of the given numbers is 2 x 19 x 43 x 169 = 276146

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/276146

Therefore, the GCF of Fractions 29/38,91/86,718/169 is 1/276146

Least Common Multiple of 38,86,169 with GCF Formula

Least Common Multiple of 38,86,169 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 38,86,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,86,169) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(38,86,169) x common factors =1 x 2 = 2

LCM(38,86,169) = ( 38 × 86 × 169 ) / 2

LCM(38,86,169) = 552292 / 2

LCM(38,86,169) = 276146


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 29/38, 91/86, 718/169

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 29/38, 91/86, 718/169?

Answer: GCF of Numerators as per given numbers 29/38, 91/86, 718/169 is

GCF of Numerators i.e. for 29,91,718 is 1

LCM of denominators i.e. for 38,86,169 is 276146.

Thus, GCF of Fractions is 1/276146.Finally, GCF of Fractions for 29/38, 91/86, 718/169 is 1/276146.