GCD of 504, 396, 213, 534 Calculator

Given Input numbers are 504, 396, 213, 534

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 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 534 :

The positive integer divisors of 534 that completely divides 534 are.

1, 2, 3, 6, 89, 178, 267, 534

GCD of numbers is the greatest common divisor

So, the GCD (504, 396, 213, 534) = 3.

Given numbers are 504, 396, 213, 534

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 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 213 are 3 x 71

Prime factors of 534 are 2 x 3 x 89

The highest common occurrence is 3¹

Therefore, GCD of 504, 396, 213, 534 is 3.

Given numbers are 504, 396, 213, 534

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

Apply this formula for all numbers.

Step1:

LCM(504, 396) = 5544

GCD(504, 396) = ( 504 x 396 ) / 5544

= 504 / 396

= 504

Step2:

LCM(36, 213) = 2556

GCD(36, 213) = ( 36 x 213 ) / 2556

= 36 / 213

= 36

Step3:

LCM(3, 534) = 534

GCD(3, 534) = ( 3 x 534 ) / 534

= 3 / 534

= 3

So, Greatest Common Divisor of 504, 396, 213, 534 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 666, 965, 888, 618
• GCD of 263, 132, 471, 441
• GCD of 619, 715, 575, 824
• GCD of 818, 707, 932, 168
• GCD of 501, 817, 163, 507

Given numbers are 504, 396, 213, 534
The greatest common divisor of numbers 504, 396, 213, 534 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 396, 213, 534 is 3.

1. What is the GCD of 504, 396, 213, 534?

GCD of given numbers 504, 396, 213, 534 is 3

2. How to calculate the greatest common divisor of 504, 396, 213, 534?

We can find the highest common divisor of 504, 396, 213, 534 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, 396, 213, 534 i.e 3.

3. How can I use the GCD of 504, 396, 213, 534Calculator?

Out the numbers 504, 396, 213, 534 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.