Greatest Common Factor of 4/38, 3/91, 16/69, 83/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4/38, 3/91, 16/69, 83/142

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 4/38,3/91,16/69,83/142

Given fractions are 4/38,3/91,16/69,83/142

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 4,3,16,83

Greatest Common Factor of Numerators i.e. GCF of 4,3,16,83 is 1 .

LCM of Denominators means LCM of 38,91,69,142 as per the given fractions.

LCM of 38,91,69,142 is 16940742 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4,3,16,83

GCF of Fractions 4/38,3/91,16/69,83/142 is 1/16940742

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

Greatest Common Factor of 4,3,16,83 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,3,16,83 By Matching Biggest Common Factor Method

Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1,2,4

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Greatest Common Factor

We found the factors 4,3,16,83 . The biggest common factor number is the GCF number.
So the greatest common factor 4,3,16,83 is 1.

Lets's calculate LCM of 38,91,69,142

2 38, 91, 69, 142
19, 91, 69, 71

∴ So the LCM of the given numbers is 2 x 19 x 91 x 69 x 71 = 16940742

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16940742

Therefore, the GCF of Fractions 4/38,3/91,16/69,83/142 is 1/16940742

Least Common Multiple of 38,91,69,142 with GCF Formula

Least Common Multiple of 38,91,69,142 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 38,91,69,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,91,69,142) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(38,91,69,142) x common factors =1 x 2 = 2

LCM(38,91,69,142) = ( 38 × 91 × 69 × 142 ) / 2

LCM(38,91,69,142) = 33881484 / 2

LCM(38,91,69,142) = 16940742


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 4/38, 3/91, 16/69, 83/142

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 4/38, 3/91, 16/69, 83/142?

Answer: GCF of Numerators as per given numbers 4/38, 3/91, 16/69, 83/142 is

GCF of Numerators i.e. for 4,3,16,83 is 1

LCM of denominators i.e. for 38,91,69,142 is 16940742.

Thus, GCF of Fractions is 1/16940742.Finally, GCF of Fractions for 4/38, 3/91, 16/69, 83/142 is 1/16940742.