Greatest Common Factor of 39/462, 75/347, 360/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 39/462, 75/347, 360/684

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 39/462,75/347,360/684

Given fractions are 39/462,75/347,360/684

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 39,75,360

Greatest Common Factor of Numerators i.e. GCF of 39,75,360 is 3 .

LCM of Denominators means LCM of 462,347,684 as per the given fractions.

LCM of 462,347,684 is 18275796 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 39,75,360

GCF of Fractions 39/462,75/347,360/684 is 3/18275796

3 39, 75, 360
13, 25, 120

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

Greatest Common Factor of 39,75,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,75,360 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 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 39,75,360 . The biggest common factor number is the GCF number.
So the greatest common factor 39,75,360 is 3.

Lets's calculate LCM of 462,347,684

2 462, 347, 684
3 231, 347, 342
77, 347, 114

∴ So the LCM of the given numbers is 2 x 3 x 77 x 347 x 114 = 18275796

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/18275796

Therefore, the GCF of Fractions 39/462,75/347,360/684 is 3/18275796

Least Common Multiple of 462,347,684 with GCF Formula

Least Common Multiple of 462,347,684 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 462,347,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,347,684) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(462,347,684) x common factors =1 x 6 = 6

LCM(462,347,684) = ( 462 × 347 × 684 ) / 6

LCM(462,347,684) = 109654776 / 6

LCM(462,347,684) = 18275796


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 39/462, 75/347, 360/684

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 39/462, 75/347, 360/684?

Answer: GCF of Numerators as per given numbers 39/462, 75/347, 360/684 is

GCF of Numerators i.e. for 39,75,360 is 3

LCM of denominators i.e. for 462,347,684 is 18275796.

Thus, GCF of Fractions is 3/18275796.Finally, GCF of Fractions for 39/462, 75/347, 360/684 is 3/18275796.