Greatest Common Factor of 798/187, 171/507, 849/654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 798/187, 171/507, 849/654

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 798/187,171/507,849/654

Given fractions are 798/187,171/507,849/654

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 798,171,849

Greatest Common Factor of Numerators i.e. GCF of 798,171,849 is 3 .

LCM of Denominators means LCM of 187,507,654 as per the given fractions.

LCM of 187,507,654 is 20668362 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 798,171,849

GCF of Fractions 798/187,171/507,849/654 is 3/20668362

3 798, 171, 849
266, 57, 283

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

Greatest Common Factor of 798,171,849 By Matching Biggest Common Factor Method

Greatest Common Factor of 798,171,849 By Matching Biggest Common Factor Method

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Greatest Common Factor

We found the factors 798,171,849 . The biggest common factor number is the GCF number.
So the greatest common factor 798,171,849 is 3.

Lets's calculate LCM of 187,507,654

3 187, 507, 654
187, 169, 218

∴ So the LCM of the given numbers is 3 x 187 x 169 x 218 = 20668362

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/20668362

Therefore, the GCF of Fractions 798/187,171/507,849/654 is 3/20668362

Least Common Multiple of 187,507,654 with GCF Formula

Least Common Multiple of 187,507,654 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 187,507,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(187,507,654) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(187,507,654) x common factors =1 x 3 = 3

LCM(187,507,654) = ( 187 × 507 × 654 ) / 3

LCM(187,507,654) = 62005086 / 3

LCM(187,507,654) = 20668362


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 798/187, 171/507, 849/654

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 798/187, 171/507, 849/654?

Answer: GCF of Numerators as per given numbers 798/187, 171/507, 849/654 is

GCF of Numerators i.e. for 798,171,849 is 3

LCM of denominators i.e. for 187,507,654 is 20668362.

Thus, GCF of Fractions is 3/20668362.Finally, GCF of Fractions for 798/187, 171/507, 849/654 is 3/20668362.