Greatest Common Factor of 204/90, 926/8572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 204/90, 926/8572

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 204/90,926/8572

Given fractions are 204/90,926/8572

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 204,926

Greatest Common Factor of Numerators i.e. GCF of 204,926 is 2 .

LCM of Denominators means LCM of 90,8572 as per the given fractions.

LCM of 90,8572 is 385740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 204,926

GCF of Fractions 204/90,926/8572 is 2/385740

2 204, 926
102, 463

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

Greatest Common Factor of 204,926 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,926 By Matching Biggest Common Factor Method

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Greatest Common Factor

We found the factors 204,926 . The biggest common factor number is the GCF number.
So the greatest common factor 204,926 is 2.

Lets's calculate LCM of 90,8572

2 90, 8572
45, 4286

∴ So the LCM of the given numbers is 2 x 45 x 4286 = 385740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/385740

Therefore, the GCF of Fractions 204/90,926/8572 is 2/385740

Least Common Multiple of 90,8572 with GCF Formula

Least Common Multiple of 90,8572 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 90,8572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,8572) = 2

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

GCF(90,8572) x common factors =2 x 1 = 2

LCM(90,8572) = ( 90 × 8572 ) / 2

LCM(90,8572) = 771480 / 2

LCM(90,8572) = 385740


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 204/90, 926/8572

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 204/90, 926/8572?

Answer: GCF of Numerators as per given numbers 204/90, 926/8572 is

GCF of Numerators i.e. for 204,926 is 2

LCM of denominators i.e. for 90,8572 is 385740.

Thus, GCF of Fractions is 2/385740.Finally, GCF of Fractions for 204/90, 926/8572 is 2/385740.