Greatest Common Factor of 826/86, 205/18, 121/266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 826/86, 205/18, 121/266

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 826/86,205/18,121/266

Given fractions are 826/86,205/18,121/266

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 826,205,121

Greatest Common Factor of Numerators i.e. GCF of 826,205,121 is 1 .

LCM of Denominators means LCM of 86,18,266 as per the given fractions.

LCM of 86,18,266 is 102942 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 826,205,121

GCF of Fractions 826/86,205/18,121/266 is 1/102942

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

Greatest Common Factor of 826,205,121 By Matching Biggest Common Factor Method

Greatest Common Factor of 826,205,121 By Matching Biggest Common Factor Method

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Greatest Common Factor

We found the factors 826,205,121 . The biggest common factor number is the GCF number.
So the greatest common factor 826,205,121 is 1.

Lets's calculate LCM of 86,18,266

2 86, 18, 266
43, 9, 133

∴ So the LCM of the given numbers is 2 x 43 x 9 x 133 = 102942

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102942

Therefore, the GCF of Fractions 826/86,205/18,121/266 is 1/102942

Least Common Multiple of 86,18,266 with GCF Formula

Least Common Multiple of 86,18,266 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 86,18,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,18,266) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(86,18,266) x common factors =2 x 2 = 4

LCM(86,18,266) = ( 86 × 18 × 266 ) / 4

LCM(86,18,266) = 411768 / 4

LCM(86,18,266) = 102942


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 826/86, 205/18, 121/266

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 826/86, 205/18, 121/266?

Answer: GCF of Numerators as per given numbers 826/86, 205/18, 121/266 is

GCF of Numerators i.e. for 826,205,121 is 1

LCM of denominators i.e. for 86,18,266 is 102942.

Thus, GCF of Fractions is 1/102942.Finally, GCF of Fractions for 826/86, 205/18, 121/266 is 1/102942.