Greatest Common Factor of 38/74, 868/42, 189/669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/74, 868/42, 189/669

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 38/74,868/42,189/669

Given fractions are 38/74,868/42,189/669

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 38,868,189

Greatest Common Factor of Numerators i.e. GCF of 38,868,189 is 1 .

LCM of Denominators means LCM of 74,42,669 as per the given fractions.

LCM of 74,42,669 is 346542 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,868,189

GCF of Fractions 38/74,868/42,189/669 is 1/346542

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

Greatest Common Factor of 38,868,189 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,868,189 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Greatest Common Factor

We found the factors 38,868,189 . The biggest common factor number is the GCF number.
So the greatest common factor 38,868,189 is 1.

Lets's calculate LCM of 74,42,669

2 74, 42, 669
3 37, 21, 669
37, 7, 223

∴ So the LCM of the given numbers is 2 x 3 x 37 x 7 x 223 = 346542

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/346542

Therefore, the GCF of Fractions 38/74,868/42,189/669 is 1/346542

Least Common Multiple of 74,42,669 with GCF Formula

Least Common Multiple of 74,42,669 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 74,42,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,42,669) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(74,42,669) x common factors =1 x 6 = 6

LCM(74,42,669) = ( 74 × 42 × 669 ) / 6

LCM(74,42,669) = 2079252 / 6

LCM(74,42,669) = 346542


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 38/74, 868/42, 189/669

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 38/74, 868/42, 189/669?

Answer: GCF of Numerators as per given numbers 38/74, 868/42, 189/669 is

GCF of Numerators i.e. for 38,868,189 is 1

LCM of denominators i.e. for 74,42,669 is 346542.

Thus, GCF of Fractions is 1/346542.Finally, GCF of Fractions for 38/74, 868/42, 189/669 is 1/346542.