GCD of 72, 62, 16 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 72, 62, 16 i.e. 2 largest integer that divides all the numbers equally.

GCD of 72, 62, 16 is 2

GCD(72, 62, 16) = 2

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

GCD of

GCD of numbers 72, 62, 16 is 2

GCD(72, 62, 16) = 2

GCD of 72,62,16 Calculator

GCDof 72,62,16 is 2

Given Input numbers are 72, 62, 16

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 62

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

1, 2, 31, 62

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Greatest Common Divisior

We found the divisors of 72, 62, 16 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 62, 16 is 2.

Therefore, GCD of numbers 72, 62, 16 is 2

Finding GCD of 72, 62, 16 using Prime Factorization

Given Input Data is 72, 62, 16

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 62 is 2 x 31

Prime Factorization of 16 is 2 x 2 x 2 x 2

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 72, 62, 16 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(72, 62) = 2232

GCD(72, 62) = ( 72 x 62 ) / 2232

GCD(72, 62) = 4464 / 2232

GCD(72, 62) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

GCD of 72, 62, 16 is 2

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 72, 62, 16

1. What is the GCD of 72, 62, 16?

GCD of 72, 62, 16 is 2

2. Where do I get the detailed procedure to find GCD of 72, 62, 16?

You can find a detailed procedure to find GCD of 72, 62, 16 on our page.

3. How to find GCD of 72, 62, 16 on a calculator?

You can find the GCD of 72, 62, 16 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.