Greatest Common Factor of 26/817, 158/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 26/817, 158/222

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 26/817,158/222

Given fractions are 26/817,158/222

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 26,158

Greatest Common Factor of Numerators i.e. GCF of 26,158 is 2 .

LCM of Denominators means LCM of 817,222 as per the given fractions.

LCM of 817,222 is 181374 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 26,158

GCF of Fractions 26/817,158/222 is 2/181374

2 26, 158
13, 79

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

Greatest Common Factor of 26,158 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,158 By Matching Biggest Common Factor Method

Factors of 26

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

1,2,13,26

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Greatest Common Factor

We found the factors 26,158 . The biggest common factor number is the GCF number.
So the greatest common factor 26,158 is 2.

Lets's calculate LCM of 817,222

Given numbers has no common factors except 1. So, there LCM is their product i.e 181374

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/181374

Therefore, the GCF of Fractions 26/817,158/222 is 2/181374

Least Common Multiple of 817,222 with GCF Formula

Least Common Multiple of 817,222 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 817,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(817,222) = 1

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

GCF(817,222) x common factors =1 x 1 = 1

LCM(817,222) = ( 817 × 222 ) / 1

LCM(817,222) = 181374 / 1

LCM(817,222) = 181374


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 26/817, 158/222

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 26/817, 158/222?

Answer: GCF of Numerators as per given numbers 26/817, 158/222 is

GCF of Numerators i.e. for 26,158 is 2

LCM of denominators i.e. for 817,222 is 181374.

Thus, GCF of Fractions is 2/181374.Finally, GCF of Fractions for 26/817, 158/222 is 2/181374.