Greatest Common Factor of 38/33, 30/77, 393/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/33, 30/77, 393/132

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 38/33,30/77,393/132

Given fractions are 38/33,30/77,393/132

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 38,30,393

Greatest Common Factor of Numerators i.e. GCF of 38,30,393 is 1 .

LCM of Denominators means LCM of 33,77,132 as per the given fractions.

LCM of 33,77,132 is 924 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,30,393

GCF of Fractions 38/33,30/77,393/132 is 1/924

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

Greatest Common Factor of 38,30,393 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,30,393 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 30

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

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

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Greatest Common Factor

We found the factors 38,30,393 . The biggest common factor number is the GCF number.
So the greatest common factor 38,30,393 is 1.

Lets's calculate LCM of 33,77,132

3 33, 77, 132
11 11, 77, 44
1, 7, 4

∴ So the LCM of the given numbers is 3 x 11 x 1 x 7 x 4 = 924

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/924

Therefore, the GCF of Fractions 38/33,30/77,393/132 is 1/924

Least Common Multiple of 33,77,132 with GCF Formula

Least Common Multiple of 33,77,132 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 33,77,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,77,132) = 11

common factors(in case of two or more numbers have common factors) = 33

GCF(33,77,132) x common factors =11 x 33 = 363

LCM(33,77,132) = ( 33 × 77 × 132 ) / 363

LCM(33,77,132) = 335412 / 363

LCM(33,77,132) = 924


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 38/33, 30/77, 393/132

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 38/33, 30/77, 393/132?

Answer: GCF of Numerators as per given numbers 38/33, 30/77, 393/132 is

GCF of Numerators i.e. for 38,30,393 is 1

LCM of denominators i.e. for 33,77,132 is 924.

Thus, GCF of Fractions is 1/924.Finally, GCF of Fractions for 38/33, 30/77, 393/132 is 1/924.