Greatest Common Factor of 90/668, 136/406, 612/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 90/668, 136/406, 612/638

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 90/668,136/406,612/638

Given fractions are 90/668,136/406,612/638

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 90,136,612

Greatest Common Factor of Numerators i.e. GCF of 90,136,612 is 2 .

LCM of Denominators means LCM of 668,406,638 as per the given fractions.

LCM of 668,406,638 is 1491644 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 90,136,612

GCF of Fractions 90/668,136/406,612/638 is 2/1491644

2 90, 136, 612
45, 68, 306

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

Greatest Common Factor of 90,136,612 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,136,612 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Greatest Common Factor

We found the factors 90,136,612 . The biggest common factor number is the GCF number.
So the greatest common factor 90,136,612 is 2.

Lets's calculate LCM of 668,406,638

2 668, 406, 638
29 334, 203, 319
334, 7, 11

∴ So the LCM of the given numbers is 2 x 29 x 334 x 7 x 11 = 1491644

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1491644

Therefore, the GCF of Fractions 90/668,136/406,612/638 is 2/1491644

Least Common Multiple of 668,406,638 with GCF Formula

Least Common Multiple of 668,406,638 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 668,406,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,406,638) = 2

common factors(in case of two or more numbers have common factors) = 58

GCF(668,406,638) x common factors =2 x 58 = 116

LCM(668,406,638) = ( 668 × 406 × 638 ) / 116

LCM(668,406,638) = 173030704 / 116

LCM(668,406,638) = 1491644


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 90/668, 136/406, 612/638

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 90/668, 136/406, 612/638?

Answer: GCF of Numerators as per given numbers 90/668, 136/406, 612/638 is

GCF of Numerators i.e. for 90,136,612 is 2

LCM of denominators i.e. for 668,406,638 is 1491644.

Thus, GCF of Fractions is 2/1491644.Finally, GCF of Fractions for 90/668, 136/406, 612/638 is 2/1491644.