GCD of 534, 596, 456, 396 Calculator

Given Input numbers are 534, 596, 456, 396

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

Divisors of 534 :

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

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

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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

GCD of numbers is the greatest common divisor

So, the GCD (534, 596, 456, 396) = 2.

Given numbers are 534, 596, 456, 396

The list of prime factors of all numbers are

Prime factors of 534 are 2 x 3 x 89

Prime factors of 596 are 2 x 2 x 149

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 534, 596, 456, 396 is 2.

Given numbers are 534, 596, 456, 396

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

Apply this formula for all numbers.

Step1:

LCM(534, 596) = 159132

GCD(534, 596) = ( 534 x 596 ) / 159132

= 534 / 596

= 534

Step2:

LCM(2, 456) = 456

GCD(2, 456) = ( 2 x 456 ) / 456

= 2 / 456

= 2

Step3:

LCM(2, 396) = 396

GCD(2, 396) = ( 2 x 396 ) / 396

= 2 / 396

= 2

So, Greatest Common Divisor of 534, 596, 456, 396 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 679, 750, 534, 818
• GCD of 400, 355, 986, 414
• GCD of 185, 999, 628, 821
• GCD of 518, 520, 390, 102
• GCD of 450, 672, 180, 735

Given numbers are 534, 596, 456, 396
The greatest common divisor of numbers 534, 596, 456, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 534, 596, 456, 396 is 2.

1. What is the GCD of 534, 596, 456, 396?

GCD of given numbers 534, 596, 456, 396 is 2

2. How to calculate the greatest common divisor of 534, 596, 456, 396?

We can find the highest common divisor of 534, 596, 456, 396 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 534, 596, 456, 396 i.e 2.

3. How can I use the GCD of 534, 596, 456, 396Calculator?

Out the numbers 534, 596, 456, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.