Greatest Common Factor of 68/22, 266/23, 213/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/22, 266/23, 213/810

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 68/22,266/23,213/810

Given fractions are 68/22,266/23,213/810

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 68,266,213

Greatest Common Factor of Numerators i.e. GCF of 68,266,213 is 1 .

LCM of Denominators means LCM of 22,23,810 as per the given fractions.

LCM of 22,23,810 is 204930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,266,213

GCF of Fractions 68/22,266/23,213/810 is 1/204930

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

Greatest Common Factor of 68,266,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,266,213 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 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Greatest Common Factor

We found the factors 68,266,213 . The biggest common factor number is the GCF number.
So the greatest common factor 68,266,213 is 1.

Lets's calculate LCM of 22,23,810

2 22, 23, 810
11, 23, 405

∴ So the LCM of the given numbers is 2 x 11 x 23 x 405 = 204930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/204930

Therefore, the GCF of Fractions 68/22,266/23,213/810 is 1/204930

Least Common Multiple of 22,23,810 with GCF Formula

Least Common Multiple of 22,23,810 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 22,23,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,23,810) = 1

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

GCF(22,23,810) x common factors =1 x 2 = 2

LCM(22,23,810) = ( 22 × 23 × 810 ) / 2

LCM(22,23,810) = 409860 / 2

LCM(22,23,810) = 204930


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 68/22, 266/23, 213/810

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 68/22, 266/23, 213/810?

Answer: GCF of Numerators as per given numbers 68/22, 266/23, 213/810 is

GCF of Numerators i.e. for 68,266,213 is 1

LCM of denominators i.e. for 22,23,810 is 204930.

Thus, GCF of Fractions is 1/204930.Finally, GCF of Fractions for 68/22, 266/23, 213/810 is 1/204930.