Greatest Common Factor of 266/86, 567/90, 167/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 266/86, 567/90, 167/734

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 266/86,567/90,167/734

Given fractions are 266/86,567/90,167/734

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 266,567,167

Greatest Common Factor of Numerators i.e. GCF of 266,567,167 is 1 .

LCM of Denominators means LCM of 86,90,734 as per the given fractions.

LCM of 86,90,734 is 1420290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 266,567,167

GCF of Fractions 266/86,567/90,167/734 is 1/1420290

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

Greatest Common Factor of 266,567,167 By Matching Biggest Common Factor Method

Greatest Common Factor of 266,567,167 By Matching Biggest Common Factor Method

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 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1,167

Greatest Common Factor

We found the factors 266,567,167 . The biggest common factor number is the GCF number.
So the greatest common factor 266,567,167 is 1.

Lets's calculate LCM of 86,90,734

2 86, 90, 734
43, 45, 367

∴ So the LCM of the given numbers is 2 x 43 x 45 x 367 = 1420290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1420290

Therefore, the GCF of Fractions 266/86,567/90,167/734 is 1/1420290

Least Common Multiple of 86,90,734 with GCF Formula

Least Common Multiple of 86,90,734 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 86,90,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,90,734) = 2

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

GCF(86,90,734) x common factors =2 x 2 = 4

LCM(86,90,734) = ( 86 × 90 × 734 ) / 4

LCM(86,90,734) = 5681160 / 4

LCM(86,90,734) = 1420290


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 266/86, 567/90, 167/734

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 266/86, 567/90, 167/734?

Answer: GCF of Numerators as per given numbers 266/86, 567/90, 167/734 is

GCF of Numerators i.e. for 266,567,167 is 1

LCM of denominators i.e. for 86,90,734 is 1420290.

Thus, GCF of Fractions is 1/1420290.Finally, GCF of Fractions for 266/86, 567/90, 167/734 is 1/1420290.