Greatest Common Factor of 28/630, 638/405, 658/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/630, 638/405, 658/723

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 28/630,638/405,658/723

Given fractions are 28/630,638/405,658/723

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 28,638,658

Greatest Common Factor of Numerators i.e. GCF of 28,638,658 is 2 .

LCM of Denominators means LCM of 630,405,723 as per the given fractions.

LCM of 630,405,723 is 1366470 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,638,658

GCF of Fractions 28/630,638/405,658/723 is 2/1366470

2 28, 638, 658
14, 319, 329

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 28,638,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,638,658 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 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 28,638,658 . The biggest common factor number is the GCF number.
So the greatest common factor 28,638,658 is 2.

Lets's calculate LCM of 630,405,723

3 630, 405, 723
3 210, 135, 241
5 70, 45, 241
14, 9, 241

∴ So the LCM of the given numbers is 3 x 3 x 5 x 14 x 9 x 241 = 1366470

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1366470

Therefore, the GCF of Fractions 28/630,638/405,658/723 is 2/1366470

Least Common Multiple of 630,405,723 with GCF Formula

Least Common Multiple of 630,405,723 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 630,405,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(630,405,723) = 3

common factors(in case of two or more numbers have common factors) = 45

GCF(630,405,723) x common factors =3 x 45 = 135

LCM(630,405,723) = ( 630 × 405 × 723 ) / 135

LCM(630,405,723) = 184473450 / 135

LCM(630,405,723) = 1366470


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 28/630, 638/405, 658/723

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 28/630, 638/405, 658/723?

Answer: GCF of Numerators as per given numbers 28/630, 638/405, 658/723 is

GCF of Numerators i.e. for 28,638,658 is 2

LCM of denominators i.e. for 630,405,723 is 1366470.

Thus, GCF of Fractions is 2/1366470.Finally, GCF of Fractions for 28/630, 638/405, 658/723 is 2/1366470.