GCD of 537, 780, 456, 442 Calculator

Given Input numbers are 537, 780, 456, 442

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

Divisors of 537 :

The positive integer divisors of 537 that completely divides 537 are.

1, 3, 179, 537

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

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 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

GCD of numbers is the greatest common divisor

So, the GCD (537, 780, 456, 442) = 1.

Given numbers are 537, 780, 456, 442

The list of prime factors of all numbers are

Prime factors of 537 are 3 x 179

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

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

Prime factors of 442 are 2 x 13 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 537, 780, 456, 442

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

Apply this formula for all numbers.

Step1:

LCM(537, 780) = 139620

GCD(537, 780) = ( 537 x 780 ) / 139620

= 537 / 780

= 537

Step2:

LCM(3, 456) = 456

GCD(3, 456) = ( 3 x 456 ) / 456

= 3 / 456

= 3

Step3:

LCM(3, 442) = 1326

GCD(3, 442) = ( 3 x 442 ) / 1326

= 3 / 442

= 3

So, Greatest Common Divisor of 537, 780, 456, 442 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 828, 167, 646, 285
• GCD of 165, 968, 198, 793
• GCD of 596, 545, 960, 757
• GCD of 371, 695, 335, 657
• GCD of 949, 265, 144, 766

Given numbers are 537, 780, 456, 442
The greatest common divisor of numbers 537, 780, 456, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 537, 780, 456, 442 is 1.

1. What is the GCD of 537, 780, 456, 442?

GCD of given numbers 537, 780, 456, 442 is 1

2. How to calculate the greatest common divisor of 537, 780, 456, 442?

We can find the highest common divisor of 537, 780, 456, 442 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 537, 780, 456, 442 i.e 1.

3. How can I use the GCD of 537, 780, 456, 442Calculator?

Out the numbers 537, 780, 456, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.