Greatest Common Factor of 2/39, 28/90, 93/315, 713/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2/39, 28/90, 93/315, 713/469

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 2/39,28/90,93/315,713/469

Given fractions are 2/39,28/90,93/315,713/469

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 2,28,93,713

Greatest Common Factor of Numerators i.e. GCF of 2,28,93,713 is 1 .

LCM of Denominators means LCM of 39,90,315,469 as per the given fractions.

LCM of 39,90,315,469 is 548730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2,28,93,713

GCF of Fractions 2/39,28/90,93/315,713/469 is 1/548730

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

Greatest Common Factor of 2,28,93,713 By Matching Biggest Common Factor Method

Greatest Common Factor of 2,28,93,713 By Matching Biggest Common Factor Method

Factors of 2

List of positive integer factors of 2 that divides 2 without a remainder.

1,2

Factors of 28

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

1,2,4,7,14,28

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Greatest Common Factor

We found the factors 2,28,93,713 . The biggest common factor number is the GCF number.
So the greatest common factor 2,28,93,713 is 1.

Lets's calculate LCM of 39,90,315,469

3 39, 90, 315, 469
3 13, 30, 105, 469
5 13, 10, 35, 469
7 13, 2, 7, 469
13, 2, 1, 67

∴ So the LCM of the given numbers is 3 x 3 x 5 x 7 x 13 x 2 x 1 x 67 = 548730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/548730

Therefore, the GCF of Fractions 2/39,28/90,93/315,713/469 is 1/548730

Least Common Multiple of 39,90,315,469 with GCF Formula

Least Common Multiple of 39,90,315,469 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 39,90,315,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,90,315,469) = 1

common factors(in case of two or more numbers have common factors) = 945

GCF(39,90,315,469) x common factors =1 x 945 = 945

LCM(39,90,315,469) = ( 39 × 90 × 315 × 469 ) / 945

LCM(39,90,315,469) = 518549850 / 945

LCM(39,90,315,469) = 548730


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 2/39, 28/90, 93/315, 713/469

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 2/39, 28/90, 93/315, 713/469?

Answer: GCF of Numerators as per given numbers 2/39, 28/90, 93/315, 713/469 is

GCF of Numerators i.e. for 2,28,93,713 is 1

LCM of denominators i.e. for 39,90,315,469 is 548730.

Thus, GCF of Fractions is 1/548730.Finally, GCF of Fractions for 2/39, 28/90, 93/315, 713/469 is 1/548730.