Greatest Common Factor of 344/27, 549/31, 426/999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 344/27, 549/31, 426/999

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 344/27,549/31,426/999

Given fractions are 344/27,549/31,426/999

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 344,549,426

Greatest Common Factor of Numerators i.e. GCF of 344,549,426 is 1 .

LCM of Denominators means LCM of 27,31,999 as per the given fractions.

LCM of 27,31,999 is 30969 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 344,549,426

GCF of Fractions 344/27,549/31,426/999 is 1/30969

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

Greatest Common Factor of 344,549,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 344,549,426 By Matching Biggest Common Factor Method

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Greatest Common Factor

We found the factors 344,549,426 . The biggest common factor number is the GCF number.
So the greatest common factor 344,549,426 is 1.

Lets's calculate LCM of 27,31,999

3 27, 31, 999
3 9, 31, 333
3 3, 31, 111
1, 31, 37

∴ So the LCM of the given numbers is 3 x 3 x 3 x 1 x 31 x 37 = 30969

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30969

Therefore, the GCF of Fractions 344/27,549/31,426/999 is 1/30969

Least Common Multiple of 27,31,999 with GCF Formula

Least Common Multiple of 27,31,999 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 27,31,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,31,999) = 1

common factors(in case of two or more numbers have common factors) = 27

GCF(27,31,999) x common factors =1 x 27 = 27

LCM(27,31,999) = ( 27 × 31 × 999 ) / 27

LCM(27,31,999) = 836163 / 27

LCM(27,31,999) = 30969


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 344/27, 549/31, 426/999

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 344/27, 549/31, 426/999?

Answer: GCF of Numerators as per given numbers 344/27, 549/31, 426/999 is

GCF of Numerators i.e. for 344,549,426 is 1

LCM of denominators i.e. for 27,31,999 is 30969.

Thus, GCF of Fractions is 1/30969.Finally, GCF of Fractions for 344/27, 549/31, 426/999 is 1/30969.