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GCD of 264, 466, 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 264, 466, 36 quickly. Get the easiest ways to solve the greatest common divisor of 264, 466, 36 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 264, 466, 36 with Factoring?

Given Input numbers are 264, 466, 36

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

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

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 (264, 466, 36) = 2.

Find GCD of 264, 466, 36 using Prime Factorization

Given numbers are 264, 466, 36

The list of prime factors of all numbers are

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 466 are 2 x 233

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

The highest common occurrence is 21

Therefore, GCD of 264, 466, 36 is 2.

Steps to Calculate GCD of 264, 466, 36 using LCM Formula

Given numbers are 264, 466, 36

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

Apply this formula for all numbers.

Step1:

LCM(264, 466) = 61512

GCD(264, 466) = ( 264 x 466 ) / 61512

= 264 / 466

= 264


Step2:

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

= 2 / 36

= 2


So, Greatest Common Divisor of 264, 466, 36 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 264, 466, 36

Given numbers are 264, 466, 36
The greatest common divisor of numbers 264, 466, 36 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 264, 466, 36 is 2.

FAQs on GCD of 264, 466, 36 Calculator

1. What is the GCD of 264, 466, 36?

GCD of given numbers 264, 466, 36 is 2


2. How to calculate the greatest common divisor of 264, 466, 36?

We can find the highest common divisor of 264, 466, 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 264, 466, 36 i.e 2.


3. How can I use the GCD of 264, 466, 36Calculator?

Out the numbers 264, 466, 36 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.