Where do I get the detailed procedure to find GCD of 60, 64, 36?

You can find a detailed procedure to find GCD of 60, 64, 36 on our page.

How to find GCD of 60, 64, 36 on a calculator?

You can find the GCD of 60, 64, 36 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 60, 64, 36 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 60, 64, 36 quickly. Get the easiest ways to solve the greatest common divisor of 60, 64, 36 i.e 4 in different methods as follows.

How to Find GCD of Numbers 60, 64, 36 with Factoring?

Given Input numbers are 60, 64, 36

In the factoring method, we have to find the divisors of all numbers

Divisors of 60 :

The positive integer divisors of 60 that completely divides 60 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 64 :

The positive integer divisors of 64 that completely divides 64 are.

1, 2, 4, 8, 16, 32, 64

Divisors of 36 :

The positive integer divisors of 36 that completely divides 36 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (60, 64, 36) = 4.

Find GCD of 60, 64, 36 using Prime Factorization

Given numbers are 60, 64, 36

The list of prime factors of all numbers are

Prime factors of 60 are 2 x 2 x 3 x 5

Prime factors of 64 are 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 36 are 2 x 2 x 3 x 3

The highest common occurrence is 2²

Therefore, GCD of 60, 64, 36 is 4.

Steps to Calculate GCD of 60, 64, 36 using LCM Formula

Given numbers are 60, 64, 36

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(60, 64) = 960

GCD(60, 64) = ( 60 x 64 ) / 960

= 60 / 64

= 60

Step2:

LCM(4, 36) = 36

GCD(4, 36) = ( 4 x 36 ) / 36

= 4 / 36

= 4

So, Greatest Common Divisor of 60, 64, 36 is 4

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 60, 64, 36

Given numbers are 60, 64, 36
The greatest common divisor of numbers 60, 64, 36 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 60, 64, 36 is 4.

FAQs on GCD of 60, 64, 36 Calculator

1. What is the GCD of 60, 64, 36?

GCD of given numbers 60, 64, 36 is 4

2. How to calculate the greatest common divisor of 60, 64, 36?

We can find the highest common divisor of 60, 64, 36 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 60, 64, 36 i.e 4.

3. How can I use the GCD of 60, 64, 36Calculator?

Out the numbers 60, 64, 36 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.