Greatest Common Factor of 65/362, 65/728, 975/693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/362, 65/728, 975/693

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 65/362,65/728,975/693

Given fractions are 65/362,65/728,975/693

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 65,65,975

Greatest Common Factor of Numerators i.e. GCF of 65,65,975 is 65 .

LCM of Denominators means LCM of 362,728,693 as per the given fractions.

LCM of 362,728,693 is 13045032 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,65,975

GCF of Fractions 65/362,65/728,975/693 is 65/13045032

5 65, 65, 975
13 13, 13, 195
1, 1, 15

∴ So the GCF of the given numbers is 5 x 13 = 65

Greatest Common Factor of 65,65,975 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,65,975 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Greatest Common Factor

We found the factors 65,65,975 . The biggest common factor number is the GCF number.
So the greatest common factor 65,65,975 is 65.

Lets's calculate LCM of 362,728,693

2 362, 728, 693
7 181, 364, 693
181, 52, 99

∴ So the LCM of the given numbers is 2 x 7 x 181 x 52 x 99 = 13045032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 65/13045032

Therefore, the GCF of Fractions 65/362,65/728,975/693 is 65/13045032

Least Common Multiple of 362,728,693 with GCF Formula

Least Common Multiple of 362,728,693 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 362,728,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,728,693) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(362,728,693) x common factors =1 x 14 = 14

LCM(362,728,693) = ( 362 × 728 × 693 ) / 14

LCM(362,728,693) = 182630448 / 14

LCM(362,728,693) = 13045032


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 65/362, 65/728, 975/693

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 65/362, 65/728, 975/693?

Answer: GCF of Numerators as per given numbers 65/362, 65/728, 975/693 is

GCF of Numerators i.e. for 65,65,975 is 65

LCM of denominators i.e. for 362,728,693 is 13045032.

Thus, GCF of Fractions is 65/13045032.Finally, GCF of Fractions for 65/362, 65/728, 975/693 is 65/13045032.