Greatest Common Factor of 897/494, 204/654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 897/494, 204/654

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 897/494,204/654

Given fractions are 897/494,204/654

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 897,204

Greatest Common Factor of Numerators i.e. GCF of 897,204 is 3 .

LCM of Denominators means LCM of 494,654 as per the given fractions.

LCM of 494,654 is 161538 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 897,204

GCF of Fractions 897/494,204/654 is 3/161538

3 897, 204
299, 68

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 897,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 897,204 By Matching Biggest Common Factor Method

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

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

Greatest Common Factor

We found the factors 897,204 . The biggest common factor number is the GCF number.
So the greatest common factor 897,204 is 3.

Lets's calculate LCM of 494,654

2 494, 654
247, 327

∴ So the LCM of the given numbers is 2 x 247 x 327 = 161538

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/161538

Therefore, the GCF of Fractions 897/494,204/654 is 3/161538

Least Common Multiple of 494,654 with GCF Formula

Least Common Multiple of 494,654 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 494,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,654) = 2

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

GCF(494,654) x common factors =2 x 1 = 2

LCM(494,654) = ( 494 × 654 ) / 2

LCM(494,654) = 323076 / 2

LCM(494,654) = 161538


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 897/494, 204/654

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 897/494, 204/654?

Answer: GCF of Numerators as per given numbers 897/494, 204/654 is

GCF of Numerators i.e. for 897,204 is 3

LCM of denominators i.e. for 494,654 is 161538.

Thus, GCF of Fractions is 3/161538.Finally, GCF of Fractions for 897/494, 204/654 is 3/161538.