Greatest Common Factor of 4695/13, 6900/730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4695/13, 6900/730

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 4695/13,6900/730

Given fractions are 4695/13,6900/730

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 4695,6900

Greatest Common Factor of Numerators i.e. GCF of 4695,6900 is 15 .

LCM of Denominators means LCM of 13,730 as per the given fractions.

LCM of 13,730 is 9490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4695,6900

GCF of Fractions 4695/13,6900/730 is 15/9490

3 4695, 6900
5 1565, 2300
313, 460

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 4695,6900 By Matching Biggest Common Factor Method

Greatest Common Factor of 4695,6900 By Matching Biggest Common Factor Method

Factors of 4695

List of positive integer factors of 4695 that divides 4695 without a remainder.

1,3,5,15,313,939,1565,4695

Factors of 6900

List of positive integer factors of 6900 that divides 6900 without a remainder.

1,2,3,4,5,6,10,12,15,20,23,25,30,46,50,60,69,75,92,100,115,138,150,230,276,300,345,460,575,690,1150,1380,1725,2300,3450,6900

Greatest Common Factor

We found the factors 4695,6900 . The biggest common factor number is the GCF number.
So the greatest common factor 4695,6900 is 15.

Lets's calculate LCM of 13,730

Given numbers has no common factors except 1. So, there LCM is their product i.e 9490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/9490

Therefore, the GCF of Fractions 4695/13,6900/730 is 15/9490

Least Common Multiple of 13,730 with GCF Formula

Least Common Multiple of 13,730 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 13,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,730) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(13,730) x common factors =1 x 1 = 1

LCM(13,730) = ( 13 × 730 ) / 1

LCM(13,730) = 9490 / 1

LCM(13,730) = 9490


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 4695/13, 6900/730

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 4695/13, 6900/730?

Answer: GCF of Numerators as per given numbers 4695/13, 6900/730 is

GCF of Numerators i.e. for 4695,6900 is 15

LCM of denominators i.e. for 13,730 is 9490.

Thus, GCF of Fractions is 15/9490.Finally, GCF of Fractions for 4695/13, 6900/730 is 15/9490.