GCD of 504, 162, 362, 492 Calculator

Given Input numbers are 504, 162, 362, 492

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

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

GCD of numbers is the greatest common divisor

So, the GCD (504, 162, 362, 492) = 2.

Given numbers are 504, 162, 362, 492

The list of prime factors of all numbers are

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

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

Prime factors of 362 are 2 x 181

Prime factors of 492 are 2 x 2 x 3 x 41

The highest common occurrence is 2¹

Therefore, GCD of 504, 162, 362, 492 is 2.

Given numbers are 504, 162, 362, 492

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

Apply this formula for all numbers.

Step1:

LCM(504, 162) = 4536

GCD(504, 162) = ( 504 x 162 ) / 4536

= 504 / 162

= 504

Step2:

LCM(18, 362) = 3258

GCD(18, 362) = ( 18 x 362 ) / 3258

= 18 / 362

= 18

Step3:

LCM(2, 492) = 492

GCD(2, 492) = ( 2 x 492 ) / 492

= 2 / 492

= 2

So, Greatest Common Divisor of 504, 162, 362, 492 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 105, 893, 910, 361
• GCD of 641, 259, 349, 218
• GCD of 558, 709, 306, 286
• GCD of 920, 830, 977, 637
• GCD of 666, 376, 533, 430

Given numbers are 504, 162, 362, 492
The greatest common divisor of numbers 504, 162, 362, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 162, 362, 492 is 2.

1. What is the GCD of 504, 162, 362, 492?

GCD of given numbers 504, 162, 362, 492 is 2

2. How to calculate the greatest common divisor of 504, 162, 362, 492?

We can find the highest common divisor of 504, 162, 362, 492 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 504, 162, 362, 492 i.e 2.

3. How can I use the GCD of 504, 162, 362, 492Calculator?

Out the numbers 504, 162, 362, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.