GCD of 612, 561, 585, 642 Calculator

Given Input numbers are 612, 561, 585, 642

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

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

GCD of numbers is the greatest common divisor

So, the GCD (612, 561, 585, 642) = 3.

Given numbers are 612, 561, 585, 642

The list of prime factors of all numbers are

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 561 are 3 x 11 x 17

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 642 are 2 x 3 x 107

The highest common occurrence is 3¹

Therefore, GCD of 612, 561, 585, 642 is 3.

Given numbers are 612, 561, 585, 642

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

Apply this formula for all numbers.

Step1:

LCM(612, 561) = 6732

GCD(612, 561) = ( 612 x 561 ) / 6732

= 612 / 561

= 612

Step2:

LCM(51, 585) = 9945

GCD(51, 585) = ( 51 x 585 ) / 9945

= 51 / 585

= 51

Step3:

LCM(3, 642) = 642

GCD(3, 642) = ( 3 x 642 ) / 642

= 3 / 642

= 3

So, Greatest Common Divisor of 612, 561, 585, 642 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 494, 248, 720, 996
• GCD of 196, 732, 242, 290
• GCD of 969, 816, 496, 840
• GCD of 766, 167, 495, 288
• GCD of 123, 858, 456, 865

Given numbers are 612, 561, 585, 642
The greatest common divisor of numbers 612, 561, 585, 642 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 612, 561, 585, 642 is 3.

1. What is the GCD of 612, 561, 585, 642?

GCD of given numbers 612, 561, 585, 642 is 3

2. How to calculate the greatest common divisor of 612, 561, 585, 642?

We can find the highest common divisor of 612, 561, 585, 642 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 612, 561, 585, 642 i.e 3.

3. How can I use the GCD of 612, 561, 585, 642Calculator?

Out the numbers 612, 561, 585, 642 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.