Greatest Common Factor of 18/12, 65/51, 682/536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 18/12, 65/51, 682/536

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 18/12,65/51,682/536

Given fractions are 18/12,65/51,682/536

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 18,65,682

Greatest Common Factor of Numerators i.e. GCF of 18,65,682 is 1 .

LCM of Denominators means LCM of 12,51,536 as per the given fractions.

LCM of 12,51,536 is 27336 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 18,65,682

GCF of Fractions 18/12,65/51,682/536 is 1/27336

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

Greatest Common Factor of 18,65,682 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,65,682 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 65

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

1,5,13,65

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 18,65,682 . The biggest common factor number is the GCF number.
So the greatest common factor 18,65,682 is 1.

Lets's calculate LCM of 12,51,536

2 12, 51, 536
2 6, 51, 268
3 3, 51, 134
1, 17, 134

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 17 x 134 = 27336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27336

Therefore, the GCF of Fractions 18/12,65/51,682/536 is 1/27336

Least Common Multiple of 12,51,536 with GCF Formula

Least Common Multiple of 12,51,536 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 12,51,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,51,536) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(12,51,536) x common factors =1 x 12 = 12

LCM(12,51,536) = ( 12 × 51 × 536 ) / 12

LCM(12,51,536) = 328032 / 12

LCM(12,51,536) = 27336


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 18/12, 65/51, 682/536

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 18/12, 65/51, 682/536?

Answer: GCF of Numerators as per given numbers 18/12, 65/51, 682/536 is

GCF of Numerators i.e. for 18,65,682 is 1

LCM of denominators i.e. for 12,51,536 is 27336.

Thus, GCF of Fractions is 1/27336.Finally, GCF of Fractions for 18/12, 65/51, 682/536 is 1/27336.