Greatest Common Factor of 38/57, 36/38, 16/45, 30/10

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/57, 36/38, 16/45, 30/10

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 38/57,36/38,16/45,30/10

Given fractions are 38/57,36/38,16/45,30/10

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 38,36,16,30

Greatest Common Factor of Numerators i.e. GCF of 38,36,16,30 is 2 .

LCM of Denominators means LCM of 57,38,45,10 as per the given fractions.

LCM of 57,38,45,10 is 1710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,36,16,30

GCF of Fractions 38/57,36/38,16/45,30/10 is 2/1710

2 38, 36, 16, 30
19, 18, 8, 15

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 38,36,16,30 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,36,16,30 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 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 16

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

1,2,4,8,16

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Greatest Common Factor

We found the factors 38,36,16,30 . The biggest common factor number is the GCF number.
So the greatest common factor 38,36,16,30 is 2.

Lets's calculate LCM of 57,38,45,10

2 57, 38, 45, 10
3 57, 19, 45, 5
5 19, 19, 15, 5
19 19, 19, 3, 1
1, 1, 3, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 19 x 1 x 1 x 3 x 1 = 1710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1710

Therefore, the GCF of Fractions 38/57,36/38,16/45,30/10 is 2/1710

Least Common Multiple of 57,38,45,10 with GCF Formula

Least Common Multiple of 57,38,45,10 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 57,38,45,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,38,45,10) = 1

common factors(in case of two or more numbers have common factors) = 570

GCF(57,38,45,10) x common factors =1 x 570 = 570

LCM(57,38,45,10) = ( 57 × 38 × 45 × 10 ) / 570

LCM(57,38,45,10) = 974700 / 570

LCM(57,38,45,10) = 1710


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 38/57, 36/38, 16/45, 30/10

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 38/57, 36/38, 16/45, 30/10?

Answer: GCF of Numerators as per given numbers 38/57, 36/38, 16/45, 30/10 is

GCF of Numerators i.e. for 38,36,16,30 is 2

LCM of denominators i.e. for 57,38,45,10 is 1710.

Thus, GCF of Fractions is 2/1710.Finally, GCF of Fractions for 38/57, 36/38, 16/45, 30/10 is 2/1710.