Greatest Common Factor of 666/90, 223/79, 748/589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 666/90, 223/79, 748/589

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 666/90,223/79,748/589

Given fractions are 666/90,223/79,748/589

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 666,223,748

Greatest Common Factor of Numerators i.e. GCF of 666,223,748 is 1 .

LCM of Denominators means LCM of 90,79,589 as per the given fractions.

LCM of 90,79,589 is 4187790 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 666,223,748

GCF of Fractions 666/90,223/79,748/589 is 1/4187790

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

Greatest Common Factor of 666,223,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 666,223,748 By Matching Biggest Common Factor Method

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1,223

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 666,223,748 . The biggest common factor number is the GCF number.
So the greatest common factor 666,223,748 is 1.

Lets's calculate LCM of 90,79,589

Given numbers has no common factors except 1. So, there LCM is their product i.e 4187790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4187790

Therefore, the GCF of Fractions 666/90,223/79,748/589 is 1/4187790

Least Common Multiple of 90,79,589 with GCF Formula

Least Common Multiple of 90,79,589 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 90,79,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,79,589) = 1

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

GCF(90,79,589) x common factors =1 x 1 = 1

LCM(90,79,589) = ( 90 × 79 × 589 ) / 1

LCM(90,79,589) = 4187790 / 1

LCM(90,79,589) = 4187790


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 666/90, 223/79, 748/589

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 666/90, 223/79, 748/589?

Answer: GCF of Numerators as per given numbers 666/90, 223/79, 748/589 is

GCF of Numerators i.e. for 666,223,748 is 1

LCM of denominators i.e. for 90,79,589 is 4187790.

Thus, GCF of Fractions is 1/4187790.Finally, GCF of Fractions for 666/90, 223/79, 748/589 is 1/4187790.