Greatest Common Factor of 395/26, 945/24, 309/637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 395/26, 945/24, 309/637

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 395/26,945/24,309/637

Given fractions are 395/26,945/24,309/637

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 395,945,309

Greatest Common Factor of Numerators i.e. GCF of 395,945,309 is 1 .

LCM of Denominators means LCM of 26,24,637 as per the given fractions.

LCM of 26,24,637 is 15288 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 395,945,309

GCF of Fractions 395/26,945/24,309/637 is 1/15288

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

Greatest Common Factor of 395,945,309 By Matching Biggest Common Factor Method

Greatest Common Factor of 395,945,309 By Matching Biggest Common Factor Method

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Greatest Common Factor

We found the factors 395,945,309 . The biggest common factor number is the GCF number.
So the greatest common factor 395,945,309 is 1.

Lets's calculate LCM of 26,24,637

2 26, 24, 637
13 13, 12, 637
1, 12, 49

∴ So the LCM of the given numbers is 2 x 13 x 1 x 12 x 49 = 15288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15288

Therefore, the GCF of Fractions 395/26,945/24,309/637 is 1/15288

Least Common Multiple of 26,24,637 with GCF Formula

Least Common Multiple of 26,24,637 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 26,24,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,24,637) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(26,24,637) x common factors =1 x 26 = 26

LCM(26,24,637) = ( 26 × 24 × 637 ) / 26

LCM(26,24,637) = 397488 / 26

LCM(26,24,637) = 15288


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 395/26, 945/24, 309/637

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 395/26, 945/24, 309/637?

Answer: GCF of Numerators as per given numbers 395/26, 945/24, 309/637 is

GCF of Numerators i.e. for 395,945,309 is 1

LCM of denominators i.e. for 26,24,637 is 15288.

Thus, GCF of Fractions is 1/15288.Finally, GCF of Fractions for 395/26, 945/24, 309/637 is 1/15288.