GCD of 162, 744, 252 Calculator

Given Input numbers are 162, 744, 252

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 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

GCD of numbers is the greatest common divisor

So, the GCD (162, 744, 252) = 6.

Given numbers are 162, 744, 252

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 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 162, 744, 252 is 6.

Given numbers are 162, 744, 252

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

Apply this formula for all numbers.

Step1:

LCM(162, 744) = 20088

GCD(162, 744) = ( 162 x 744 ) / 20088

= 162 / 744

= 162

Step2:

LCM(6, 252) = 252

GCD(6, 252) = ( 6 x 252 ) / 252

= 6 / 252

= 6

So, Greatest Common Divisor of 162, 744, 252 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 504, 141, 272
• GCD of 659, 581, 750
• GCD of 611, 519, 987
• GCD of 311, 787, 109
• GCD of 286, 834, 674

Given numbers are 162, 744, 252
The greatest common divisor of numbers 162, 744, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 744, 252 is 6.

1. What is the GCD of 162, 744, 252?

GCD of given numbers 162, 744, 252 is 6

2. How to calculate the greatest common divisor of 162, 744, 252?

We can find the highest common divisor of 162, 744, 252 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, 744, 252 i.e 6.

3. How can I use the GCD of 162, 744, 252Calculator?

Out the numbers 162, 744, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.