Greatest Common Factor of 69/91, 99/67, 81/57, 167/29

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/91, 99/67, 81/57, 167/29

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 69/91,99/67,81/57,167/29

Given fractions are 69/91,99/67,81/57,167/29

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 69,99,81,167

Greatest Common Factor of Numerators i.e. GCF of 69,99,81,167 is 1 .

LCM of Denominators means LCM of 91,67,57,29 as per the given fractions.

LCM of 91,67,57,29 is 10078341 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,99,81,167

GCF of Fractions 69/91,99/67,81/57,167/29 is 1/10078341

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

Greatest Common Factor of 69,99,81,167 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,99,81,167 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1,167

Greatest Common Factor

We found the factors 69,99,81,167 . The biggest common factor number is the GCF number.
So the greatest common factor 69,99,81,167 is 1.

Lets's calculate LCM of 91,67,57,29

Given numbers has no common factors except 1. So, there LCM is their product i.e 10078341

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10078341

Therefore, the GCF of Fractions 69/91,99/67,81/57,167/29 is 1/10078341

Least Common Multiple of 91,67,57,29 with GCF Formula

Least Common Multiple of 91,67,57,29 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 91,67,57,29 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,67,57,29) = 1

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

GCF(91,67,57,29) x common factors =1 x 1 = 1

LCM(91,67,57,29) = ( 91 × 67 × 57 × 29 ) / 1

LCM(91,67,57,29) = 10078341 / 1

LCM(91,67,57,29) = 10078341


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 69/91, 99/67, 81/57, 167/29

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 69/91, 99/67, 81/57, 167/29?

Answer: GCF of Numerators as per given numbers 69/91, 99/67, 81/57, 167/29 is

GCF of Numerators i.e. for 69,99,81,167 is 1

LCM of denominators i.e. for 91,67,57,29 is 10078341.

Thus, GCF of Fractions is 1/10078341.Finally, GCF of Fractions for 69/91, 99/67, 81/57, 167/29 is 1/10078341.