Greatest Common Factor of 38/51, 21/90, 83/90, 386/56

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/51, 21/90, 83/90, 386/56

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 38/51,21/90,83/90,386/56

Given fractions are 38/51,21/90,83/90,386/56

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 38,21,83,386

Greatest Common Factor of Numerators i.e. GCF of 38,21,83,386 is 1 .

LCM of Denominators means LCM of 51,90,90,56 as per the given fractions.

LCM of 51,90,90,56 is 42840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,21,83,386

GCF of Fractions 38/51,21/90,83/90,386/56 is 1/42840

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

Greatest Common Factor of 38,21,83,386 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,21,83,386 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 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 83

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

1,83

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Greatest Common Factor

We found the factors 38,21,83,386 . The biggest common factor number is the GCF number.
So the greatest common factor 38,21,83,386 is 1.

Lets's calculate LCM of 51,90,90,56

2 51, 90, 90, 56
3 51, 45, 45, 28
3 17, 15, 15, 28
5 17, 5, 5, 28
17, 1, 1, 28

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 17 x 1 x 1 x 28 = 42840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42840

Therefore, the GCF of Fractions 38/51,21/90,83/90,386/56 is 1/42840

Least Common Multiple of 51,90,90,56 with GCF Formula

Least Common Multiple of 51,90,90,56 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 51,90,90,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,90,90,56) = 1

common factors(in case of two or more numbers have common factors) = 540

GCF(51,90,90,56) x common factors =1 x 540 = 540

LCM(51,90,90,56) = ( 51 × 90 × 90 × 56 ) / 540

LCM(51,90,90,56) = 23133600 / 540

LCM(51,90,90,56) = 42840


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 38/51, 21/90, 83/90, 386/56

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 38/51, 21/90, 83/90, 386/56?

Answer: GCF of Numerators as per given numbers 38/51, 21/90, 83/90, 386/56 is

GCF of Numerators i.e. for 38,21,83,386 is 1

LCM of denominators i.e. for 51,90,90,56 is 42840.

Thus, GCF of Fractions is 1/42840.Finally, GCF of Fractions for 38/51, 21/90, 83/90, 386/56 is 1/42840.