GCD of 162, 400, 36 Calculator

Given Input numbers are 162, 400, 36

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

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

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 (162, 400, 36) = 2.

Given numbers are 162, 400, 36

The list of prime factors of all numbers are

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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

The highest common occurrence is 2¹

Therefore, GCD of 162, 400, 36 is 2.

Given numbers are 162, 400, 36

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

Apply this formula for all numbers.

Step1:

LCM(162, 400) = 32400

GCD(162, 400) = ( 162 x 400 ) / 32400

= 162 / 400

= 162

Step2:

LCM(2, 36) = 36

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

= 2 / 36

= 2

So, Greatest Common Divisor of 162, 400, 36 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 196, 334, 62
• GCD of 262, 718, 38
• GCD of 953, 628, 42
• GCD of 161, 508, 22
• GCD of 815, 757, 41

Given numbers are 162, 400, 36
The greatest common divisor of numbers 162, 400, 36 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 400, 36 is 2.

1. What is the GCD of 162, 400, 36?

GCD of given numbers 162, 400, 36 is 2

2. How to calculate the greatest common divisor of 162, 400, 36?

We can find the highest common divisor of 162, 400, 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 162, 400, 36 i.e 2.

3. How can I use the GCD of 162, 400, 36Calculator?

Out the numbers 162, 400, 36 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.