Greatest Common Factor of 16/59, 26/95, 166/293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 16/59, 26/95, 166/293

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 16/59,26/95,166/293

Given fractions are 16/59,26/95,166/293

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 16,26,166

Greatest Common Factor of Numerators i.e. GCF of 16,26,166 is 2 .

LCM of Denominators means LCM of 59,95,293 as per the given fractions.

LCM of 59,95,293 is 1642265 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 16,26,166

GCF of Fractions 16/59,26/95,166/293 is 2/1642265

2 16, 26, 166
8, 13, 83

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 16,26,166 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,26,166 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Greatest Common Factor

We found the factors 16,26,166 . The biggest common factor number is the GCF number.
So the greatest common factor 16,26,166 is 2.

Lets's calculate LCM of 59,95,293

Given numbers has no common factors except 1. So, there LCM is their product i.e 1642265

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1642265

Therefore, the GCF of Fractions 16/59,26/95,166/293 is 2/1642265

Least Common Multiple of 59,95,293 with GCF Formula

Least Common Multiple of 59,95,293 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 59,95,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,95,293) = 1

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

GCF(59,95,293) x common factors =1 x 1 = 1

LCM(59,95,293) = ( 59 × 95 × 293 ) / 1

LCM(59,95,293) = 1642265 / 1

LCM(59,95,293) = 1642265


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 16/59, 26/95, 166/293

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 16/59, 26/95, 166/293?

Answer: GCF of Numerators as per given numbers 16/59, 26/95, 166/293 is

GCF of Numerators i.e. for 16,26,166 is 2

LCM of denominators i.e. for 59,95,293 is 1642265.

Thus, GCF of Fractions is 2/1642265.Finally, GCF of Fractions for 16/59, 26/95, 166/293 is 2/1642265.