Greatest Common Factor of 27/613, 323/758, 419/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/613, 323/758, 419/624

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 27/613,323/758,419/624

Given fractions are 27/613,323/758,419/624

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 27,323,419

Greatest Common Factor of Numerators i.e. GCF of 27,323,419 is 1 .

LCM of Denominators means LCM of 613,758,624 as per the given fractions.

LCM of 613,758,624 is 144972048 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,323,419

GCF of Fractions 27/613,323/758,419/624 is 1/144972048

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

Greatest Common Factor of 27,323,419 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,323,419 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Greatest Common Factor

We found the factors 27,323,419 . The biggest common factor number is the GCF number.
So the greatest common factor 27,323,419 is 1.

Lets's calculate LCM of 613,758,624

2 613, 758, 624
613, 379, 312

∴ So the LCM of the given numbers is 2 x 613 x 379 x 312 = 144972048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144972048

Therefore, the GCF of Fractions 27/613,323/758,419/624 is 1/144972048

Least Common Multiple of 613,758,624 with GCF Formula

Least Common Multiple of 613,758,624 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 613,758,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(613,758,624) = 1

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

GCF(613,758,624) x common factors =1 x 2 = 2

LCM(613,758,624) = ( 613 × 758 × 624 ) / 2

LCM(613,758,624) = 289944096 / 2

LCM(613,758,624) = 144972048


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 27/613, 323/758, 419/624

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 27/613, 323/758, 419/624?

Answer: GCF of Numerators as per given numbers 27/613, 323/758, 419/624 is

GCF of Numerators i.e. for 27,323,419 is 1

LCM of denominators i.e. for 613,758,624 is 144972048.

Thus, GCF of Fractions is 1/144972048.Finally, GCF of Fractions for 27/613, 323/758, 419/624 is 1/144972048.