Greatest Common Factor of 691/89, 638/58, 171/12

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 691/89, 638/58, 171/12

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 691/89,638/58,171/12

Given fractions are 691/89,638/58,171/12

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 691,638,171

Greatest Common Factor of Numerators i.e. GCF of 691,638,171 is 1 .

LCM of Denominators means LCM of 89,58,12 as per the given fractions.

LCM of 89,58,12 is 30972 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 691,638,171

GCF of Fractions 691/89,638/58,171/12 is 1/30972

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

Greatest Common Factor of 691,638,171 By Matching Biggest Common Factor Method

Greatest Common Factor of 691,638,171 By Matching Biggest Common Factor Method

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1,691

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Greatest Common Factor

We found the factors 691,638,171 . The biggest common factor number is the GCF number.
So the greatest common factor 691,638,171 is 1.

Lets's calculate LCM of 89,58,12

2 89, 58, 12
89, 29, 6

∴ So the LCM of the given numbers is 2 x 89 x 29 x 6 = 30972

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30972

Therefore, the GCF of Fractions 691/89,638/58,171/12 is 1/30972

Least Common Multiple of 89,58,12 with GCF Formula

Least Common Multiple of 89,58,12 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 89,58,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,58,12) = 1

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

GCF(89,58,12) x common factors =1 x 2 = 2

LCM(89,58,12) = ( 89 × 58 × 12 ) / 2

LCM(89,58,12) = 61944 / 2

LCM(89,58,12) = 30972


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 691/89, 638/58, 171/12

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 691/89, 638/58, 171/12?

Answer: GCF of Numerators as per given numbers 691/89, 638/58, 171/12 is

GCF of Numerators i.e. for 691,638,171 is 1

LCM of denominators i.e. for 89,58,12 is 30972.

Thus, GCF of Fractions is 1/30972.Finally, GCF of Fractions for 691/89, 638/58, 171/12 is 1/30972.