GCD of 582, 355, 112, 564 Calculator

Given Input numbers are 582, 355, 112, 564

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

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

GCD of numbers is the greatest common divisor

So, the GCD (582, 355, 112, 564) = 1.

Given numbers are 582, 355, 112, 564

The list of prime factors of all numbers are

Prime factors of 582 are 2 x 3 x 97

Prime factors of 355 are 5 x 71

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 564 are 2 x 2 x 3 x 47

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

Given numbers are 582, 355, 112, 564

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

Apply this formula for all numbers.

Step1:

LCM(582, 355) = 206610

GCD(582, 355) = ( 582 x 355 ) / 206610

= 582 / 355

= 582

Step2:

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

= 1 / 112

= 1

Step3:

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

= 1 / 564

= 1

So, Greatest Common Divisor of 582, 355, 112, 564 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 756, 796, 417, 674
• GCD of 344, 572, 992, 395
• GCD of 125, 789, 850, 905
• GCD of 130, 463, 113, 342
• GCD of 886, 140, 875, 603

Given numbers are 582, 355, 112, 564
The greatest common divisor of numbers 582, 355, 112, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 582, 355, 112, 564 is 1.

1. What is the GCD of 582, 355, 112, 564?

GCD of given numbers 582, 355, 112, 564 is 1

2. How to calculate the greatest common divisor of 582, 355, 112, 564?

We can find the highest common divisor of 582, 355, 112, 564 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 582, 355, 112, 564 i.e 1.

3. How can I use the GCD of 582, 355, 112, 564Calculator?

Out the numbers 582, 355, 112, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.