Greatest Common Factor of 686/93, 736/89, 167/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 686/93, 736/89, 167/696

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 686/93,736/89,167/696

Given fractions are 686/93,736/89,167/696

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 686,736,167

Greatest Common Factor of Numerators i.e. GCF of 686,736,167 is 1 .

LCM of Denominators means LCM of 93,89,696 as per the given fractions.

LCM of 93,89,696 is 1920264 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 686,736,167

GCF of Fractions 686/93,736/89,167/696 is 1/1920264

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

Greatest Common Factor of 686,736,167 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,736,167 By Matching Biggest Common Factor Method

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

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 686,736,167 . The biggest common factor number is the GCF number.
So the greatest common factor 686,736,167 is 1.

Lets's calculate LCM of 93,89,696

3 93, 89, 696
31, 89, 232

∴ So the LCM of the given numbers is 3 x 31 x 89 x 232 = 1920264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1920264

Therefore, the GCF of Fractions 686/93,736/89,167/696 is 1/1920264

Least Common Multiple of 93,89,696 with GCF Formula

Least Common Multiple of 93,89,696 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 93,89,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,89,696) = 1

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

GCF(93,89,696) x common factors =1 x 3 = 3

LCM(93,89,696) = ( 93 × 89 × 696 ) / 3

LCM(93,89,696) = 5760792 / 3

LCM(93,89,696) = 1920264


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 686/93, 736/89, 167/696

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 686/93, 736/89, 167/696?

Answer: GCF of Numerators as per given numbers 686/93, 736/89, 167/696 is

GCF of Numerators i.e. for 686,736,167 is 1

LCM of denominators i.e. for 93,89,696 is 1920264.

Thus, GCF of Fractions is 1/1920264.Finally, GCF of Fractions for 686/93, 736/89, 167/696 is 1/1920264.