Greatest Common Factor of 39/65, 84/38, 462/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 39/65, 84/38, 462/923

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 39/65,84/38,462/923

Given fractions are 39/65,84/38,462/923

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 39,84,462

Greatest Common Factor of Numerators i.e. GCF of 39,84,462 is 3 .

LCM of Denominators means LCM of 65,38,923 as per the given fractions.

LCM of 65,38,923 is 175370 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 39,84,462

GCF of Fractions 39/65,84/38,462/923 is 3/175370

3 39, 84, 462
13, 28, 154

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 39,84,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,84,462 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 39,84,462 . The biggest common factor number is the GCF number.
So the greatest common factor 39,84,462 is 3.

Lets's calculate LCM of 65,38,923

13 65, 38, 923
5, 38, 71

∴ So the LCM of the given numbers is 13 x 5 x 38 x 71 = 175370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/175370

Therefore, the GCF of Fractions 39/65,84/38,462/923 is 3/175370

Least Common Multiple of 65,38,923 with GCF Formula

Least Common Multiple of 65,38,923 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 65,38,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,38,923) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(65,38,923) x common factors =1 x 13 = 13

LCM(65,38,923) = ( 65 × 38 × 923 ) / 13

LCM(65,38,923) = 2279810 / 13

LCM(65,38,923) = 175370


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 39/65, 84/38, 462/923

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 39/65, 84/38, 462/923?

Answer: GCF of Numerators as per given numbers 39/65, 84/38, 462/923 is

GCF of Numerators i.e. for 39,84,462 is 3

LCM of denominators i.e. for 65,38,923 is 175370.

Thus, GCF of Fractions is 3/175370.Finally, GCF of Fractions for 39/65, 84/38, 462/923 is 3/175370.