Greatest Common Factor of 5/93, 45/93, 54/736, 338/519

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/93, 45/93, 54/736, 338/519

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 5/93,45/93,54/736,338/519

Given fractions are 5/93,45/93,54/736,338/519

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 5,45,54,338

Greatest Common Factor of Numerators i.e. GCF of 5,45,54,338 is 1 .

LCM of Denominators means LCM of 93,93,736,519 as per the given fractions.

LCM of 93,93,736,519 is 11841504 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,45,54,338

GCF of Fractions 5/93,45/93,54/736,338/519 is 1/11841504

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

Greatest Common Factor of 5,45,54,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,45,54,338 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 5,45,54,338 . The biggest common factor number is the GCF number.
So the greatest common factor 5,45,54,338 is 1.

Lets's calculate LCM of 93,93,736,519

3 93, 93, 736, 519
31 31, 31, 736, 173
1, 1, 736, 173

∴ So the LCM of the given numbers is 3 x 31 x 1 x 1 x 736 x 173 = 11841504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11841504

Therefore, the GCF of Fractions 5/93,45/93,54/736,338/519 is 1/11841504

Least Common Multiple of 93,93,736,519 with GCF Formula

Least Common Multiple of 93,93,736,519 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 93,93,736,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,93,736,519) = 1

common factors(in case of two or more numbers have common factors) = 279

GCF(93,93,736,519) x common factors =1 x 279 = 279

LCM(93,93,736,519) = ( 93 × 93 × 736 × 519 ) / 279

LCM(93,93,736,519) = 3303779616 / 279

LCM(93,93,736,519) = 11841504


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 5/93, 45/93, 54/736, 338/519

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 5/93, 45/93, 54/736, 338/519?

Answer: GCF of Numerators as per given numbers 5/93, 45/93, 54/736, 338/519 is

GCF of Numerators i.e. for 5,45,54,338 is 1

LCM of denominators i.e. for 93,93,736,519 is 11841504.

Thus, GCF of Fractions is 1/11841504.Finally, GCF of Fractions for 5/93, 45/93, 54/736, 338/519 is 1/11841504.