Greatest Common Factor of 9/61, 72/46, 14/381, 286/544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9/61, 72/46, 14/381, 286/544

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 9/61,72/46,14/381,286/544

Given fractions are 9/61,72/46,14/381,286/544

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 9,72,14,286

Greatest Common Factor of Numerators i.e. GCF of 9,72,14,286 is 1 .

LCM of Denominators means LCM of 61,46,381,544 as per the given fractions.

LCM of 61,46,381,544 is 290791392 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9,72,14,286

GCF of Fractions 9/61,72/46,14/381,286/544 is 1/290791392

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

Greatest Common Factor of 9,72,14,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,72,14,286 By Matching Biggest Common Factor Method

Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1,3,9

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 9,72,14,286 . The biggest common factor number is the GCF number.
So the greatest common factor 9,72,14,286 is 1.

Lets's calculate LCM of 61,46,381,544

2 61, 46, 381, 544
61, 23, 381, 272

∴ So the LCM of the given numbers is 2 x 61 x 23 x 381 x 272 = 290791392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/290791392

Therefore, the GCF of Fractions 9/61,72/46,14/381,286/544 is 1/290791392

Least Common Multiple of 61,46,381,544 with GCF Formula

Least Common Multiple of 61,46,381,544 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 61,46,381,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,46,381,544) = 1

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

GCF(61,46,381,544) x common factors =1 x 2 = 2

LCM(61,46,381,544) = ( 61 × 46 × 381 × 544 ) / 2

LCM(61,46,381,544) = 581582784 / 2

LCM(61,46,381,544) = 290791392


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 9/61, 72/46, 14/381, 286/544

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 9/61, 72/46, 14/381, 286/544?

Answer: GCF of Numerators as per given numbers 9/61, 72/46, 14/381, 286/544 is

GCF of Numerators i.e. for 9,72,14,286 is 1

LCM of denominators i.e. for 61,46,381,544 is 290791392.

Thus, GCF of Fractions is 1/290791392.Finally, GCF of Fractions for 9/61, 72/46, 14/381, 286/544 is 1/290791392.