GCD of 564, 828, 590, 659 Calculator

Given Input numbers are 564, 828, 590, 659

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

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

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 659 :

The positive integer divisors of 659 that completely divides 659 are.

1, 659

GCD of numbers is the greatest common divisor

So, the GCD (564, 828, 590, 659) = 1.

Given numbers are 564, 828, 590, 659

The list of prime factors of all numbers are

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

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 590 are 2 x 5 x 59

Prime factors of 659 are 659

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

Given numbers are 564, 828, 590, 659

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

Apply this formula for all numbers.

Step1:

LCM(564, 828) = 38916

GCD(564, 828) = ( 564 x 828 ) / 38916

= 564 / 828

= 564

Step2:

LCM(12, 590) = 3540

GCD(12, 590) = ( 12 x 590 ) / 3540

= 12 / 590

= 12

Step3:

LCM(2, 659) = 1318

GCD(2, 659) = ( 2 x 659 ) / 1318

= 2 / 659

= 2

So, Greatest Common Divisor of 564, 828, 590, 659 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 520, 999, 164, 400
• GCD of 767, 423, 887, 403
• GCD of 794, 172, 715, 269
• GCD of 591, 447, 828, 371
• GCD of 783, 631, 626, 233

Given numbers are 564, 828, 590, 659
The greatest common divisor of numbers 564, 828, 590, 659 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 828, 590, 659 is 1.

1. What is the GCD of 564, 828, 590, 659?

GCD of given numbers 564, 828, 590, 659 is 1

2. How to calculate the greatest common divisor of 564, 828, 590, 659?

We can find the highest common divisor of 564, 828, 590, 659 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 564, 828, 590, 659 i.e 1.

3. How can I use the GCD of 564, 828, 590, 659Calculator?

Out the numbers 564, 828, 590, 659 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.