Greatest Common Factor of 893/198, 870/243, 575/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 893/198, 870/243, 575/638

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 893/198,870/243,575/638

Given fractions are 893/198,870/243,575/638

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 893,870,575

Greatest Common Factor of Numerators i.e. GCF of 893,870,575 is 1 .

LCM of Denominators means LCM of 198,243,638 as per the given fractions.

LCM of 198,243,638 is 155034 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 893,870,575

GCF of Fractions 893/198,870/243,575/638 is 1/155034

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

Greatest Common Factor of 893,870,575 By Matching Biggest Common Factor Method

Greatest Common Factor of 893,870,575 By Matching Biggest Common Factor Method

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Greatest Common Factor

We found the factors 893,870,575 . The biggest common factor number is the GCF number.
So the greatest common factor 893,870,575 is 1.

Lets's calculate LCM of 198,243,638

2 198, 243, 638
3 99, 243, 319
3 33, 81, 319
11 11, 27, 319
1, 27, 29

∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 1 x 27 x 29 = 155034

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/155034

Therefore, the GCF of Fractions 893/198,870/243,575/638 is 1/155034

Least Common Multiple of 198,243,638 with GCF Formula

Least Common Multiple of 198,243,638 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 198,243,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(198,243,638) = 1

common factors(in case of two or more numbers have common factors) = 198

GCF(198,243,638) x common factors =1 x 198 = 198

LCM(198,243,638) = ( 198 × 243 × 638 ) / 198

LCM(198,243,638) = 30696732 / 198

LCM(198,243,638) = 155034


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 893/198, 870/243, 575/638

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 893/198, 870/243, 575/638?

Answer: GCF of Numerators as per given numbers 893/198, 870/243, 575/638 is

GCF of Numerators i.e. for 893,870,575 is 1

LCM of denominators i.e. for 198,243,638 is 155034.

Thus, GCF of Fractions is 1/155034.Finally, GCF of Fractions for 893/198, 870/243, 575/638 is 1/155034.