Greatest Common Factor of 167/81, 997/96, 168/77

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 167/81, 997/96, 168/77

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 167/81,997/96,168/77

Given fractions are 167/81,997/96,168/77

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 167,997,168

Greatest Common Factor of Numerators i.e. GCF of 167,997,168 is 1 .

LCM of Denominators means LCM of 81,96,77 as per the given fractions.

LCM of 81,96,77 is 199584 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 167,997,168

GCF of Fractions 167/81,997/96,168/77 is 1/199584

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

Greatest Common Factor of 167,997,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 167,997,168 By Matching Biggest Common Factor Method

Factors of 167

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

1,167

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 167,997,168 . The biggest common factor number is the GCF number.
So the greatest common factor 167,997,168 is 1.

Lets's calculate LCM of 81,96,77

3 81, 96, 77
27, 32, 77

∴ So the LCM of the given numbers is 3 x 27 x 32 x 77 = 199584

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/199584

Therefore, the GCF of Fractions 167/81,997/96,168/77 is 1/199584

Least Common Multiple of 81,96,77 with GCF Formula

Least Common Multiple of 81,96,77 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 81,96,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,96,77) = 1

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

GCF(81,96,77) x common factors =1 x 3 = 3

LCM(81,96,77) = ( 81 × 96 × 77 ) / 3

LCM(81,96,77) = 598752 / 3

LCM(81,96,77) = 199584


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 167/81, 997/96, 168/77

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 167/81, 997/96, 168/77?

Answer: GCF of Numerators as per given numbers 167/81, 997/96, 168/77 is

GCF of Numerators i.e. for 167,997,168 is 1

LCM of denominators i.e. for 81,96,77 is 199584.

Thus, GCF of Fractions is 1/199584.Finally, GCF of Fractions for 167/81, 997/96, 168/77 is 1/199584.