Greatest Common Factor of 28/24, 339/12, 669/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/24, 339/12, 669/426

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 28/24,339/12,669/426

Given fractions are 28/24,339/12,669/426

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 28,339,669

Greatest Common Factor of Numerators i.e. GCF of 28,339,669 is 1 .

LCM of Denominators means LCM of 24,12,426 as per the given fractions.

LCM of 24,12,426 is 1704 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,339,669

GCF of Fractions 28/24,339/12,669/426 is 1/1704

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

Greatest Common Factor of 28,339,669 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,339,669 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Greatest Common Factor

We found the factors 28,339,669 . The biggest common factor number is the GCF number.
So the greatest common factor 28,339,669 is 1.

Lets's calculate LCM of 24,12,426

2 24, 12, 426
2 12, 6, 213
3 3, 6, 213
1, 2, 71

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 2 x 71 = 1704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1704

Therefore, the GCF of Fractions 28/24,339/12,669/426 is 1/1704

Least Common Multiple of 24,12,426 with GCF Formula

Least Common Multiple of 24,12,426 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 24,12,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,12,426) = 6

common factors(in case of two or more numbers have common factors) = 12

GCF(24,12,426) x common factors =6 x 12 = 72

LCM(24,12,426) = ( 24 × 12 × 426 ) / 72

LCM(24,12,426) = 122688 / 72

LCM(24,12,426) = 1704


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 28/24, 339/12, 669/426

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 28/24, 339/12, 669/426?

Answer: GCF of Numerators as per given numbers 28/24, 339/12, 669/426 is

GCF of Numerators i.e. for 28,339,669 is 1

LCM of denominators i.e. for 24,12,426 is 1704.

Thus, GCF of Fractions is 1/1704.Finally, GCF of Fractions for 28/24, 339/12, 669/426 is 1/1704.