GCD of 504, 392, 162, 420 Calculator

Given Input numbers are 504, 392, 162, 420

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 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (504, 392, 162, 420) = 2.

Given numbers are 504, 392, 162, 420

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 392 are 2 x 2 x 2 x 7 x 7

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

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 504, 392, 162, 420 is 2.

Given numbers are 504, 392, 162, 420

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

Apply this formula for all numbers.

Step1:

LCM(504, 392) = 3528

GCD(504, 392) = ( 504 x 392 ) / 3528

= 504 / 392

= 504

Step2:

LCM(56, 162) = 4536

GCD(56, 162) = ( 56 x 162 ) / 4536

= 56 / 162

= 56

Step3:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

So, Greatest Common Divisor of 504, 392, 162, 420 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 751, 116, 205, 136
• GCD of 593, 542, 350, 943
• GCD of 722, 131, 593, 424
• GCD of 885, 868, 673, 268
• GCD of 752, 486, 510, 391

Given numbers are 504, 392, 162, 420
The greatest common divisor of numbers 504, 392, 162, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 392, 162, 420 is 2.

1. What is the GCD of 504, 392, 162, 420?

GCD of given numbers 504, 392, 162, 420 is 2

2. How to calculate the greatest common divisor of 504, 392, 162, 420?

We can find the highest common divisor of 504, 392, 162, 420 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, 392, 162, 420 i.e 2.

3. How can I use the GCD of 504, 392, 162, 420Calculator?

Out the numbers 504, 392, 162, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.