GCD of 62, 36, 18 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 62, 36, 18 i.e. 2 largest integer that divides all the numbers equally.

GCD of 62, 36, 18 is 2

GCD(62, 36, 18) = 2

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 62, 36, 18 is 2

GCD(62, 36, 18) = 2

GCD of 62,36,18 Calculator

GCDof 62,36,18 is 2

Given Input numbers are 62, 36, 18

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 62

List of positive integer divisors of 62 that divides 62 without a remainder.

1, 2, 31, 62

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 18

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

1, 2, 3, 6, 9, 18

Greatest Common Divisior

We found the divisors of 62, 36, 18 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 62, 36, 18 is 2.

Therefore, GCD of numbers 62, 36, 18 is 2

Finding GCD of 62, 36, 18 using Prime Factorization

Given Input Data is 62, 36, 18

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 62 is 2 x 31

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 18 is 2 x 3 x 3

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 62, 36, 18 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(62, 36) = 1116

GCD(62, 36) = ( 62 x 36 ) / 1116

GCD(62, 36) = 2232 / 1116

GCD(62, 36) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

GCD of 62, 36, 18 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 62, 36, 18

1. What is the GCD of 62, 36, 18?

GCD of 62, 36, 18 is 2

2. Where do I get the detailed procedure to find GCD of 62, 36, 18?

You can find a detailed procedure to find GCD of 62, 36, 18 on our page.

3. How to find GCD of 62, 36, 18 on a calculator?

You can find the GCD of 62, 36, 18 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.