Greatest Common Factor of 68/36, 89/42, 176/16

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/36, 89/42, 176/16

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 68/36,89/42,176/16

Given fractions are 68/36,89/42,176/16

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 68,89,176

Greatest Common Factor of Numerators i.e. GCF of 68,89,176 is 1 .

LCM of Denominators means LCM of 36,42,16 as per the given fractions.

LCM of 36,42,16 is 1008 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,89,176

GCF of Fractions 68/36,89/42,176/16 is 1/1008

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

Greatest Common Factor of 68,89,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,89,176 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 68,89,176 . The biggest common factor number is the GCF number.
So the greatest common factor 68,89,176 is 1.

Lets's calculate LCM of 36,42,16

2 36, 42, 16
2 18, 21, 8
3 9, 21, 4
3, 7, 4

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 7 x 4 = 1008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1008

Therefore, the GCF of Fractions 68/36,89/42,176/16 is 1/1008

Least Common Multiple of 36,42,16 with GCF Formula

Least Common Multiple of 36,42,16 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 36,42,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,42,16) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(36,42,16) x common factors =2 x 12 = 24

LCM(36,42,16) = ( 36 × 42 × 16 ) / 24

LCM(36,42,16) = 24192 / 24

LCM(36,42,16) = 1008


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 68/36, 89/42, 176/16

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 68/36, 89/42, 176/16?

Answer: GCF of Numerators as per given numbers 68/36, 89/42, 176/16 is

GCF of Numerators i.e. for 68,89,176 is 1

LCM of denominators i.e. for 36,42,16 is 1008.

Thus, GCF of Fractions is 1/1008.Finally, GCF of Fractions for 68/36, 89/42, 176/16 is 1/1008.