GCD of 580, 660, 42, 856 Calculator

Given Input numbers are 580, 660, 42, 856

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

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 42 :

The positive integer divisors of 42 that completely divides 42 are.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

GCD of numbers is the greatest common divisor

So, the GCD (580, 660, 42, 856) = 2.

Given numbers are 580, 660, 42, 856

The list of prime factors of all numbers are

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 42 are 2 x 3 x 7

Prime factors of 856 are 2 x 2 x 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 580, 660, 42, 856 is 2.

Given numbers are 580, 660, 42, 856

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

Apply this formula for all numbers.

Step1:

LCM(580, 660) = 19140

GCD(580, 660) = ( 580 x 660 ) / 19140

= 580 / 660

= 580

Step2:

LCM(20, 42) = 420

GCD(20, 42) = ( 20 x 42 ) / 420

= 20 / 42

= 20

Step3:

LCM(2, 856) = 856

GCD(2, 856) = ( 2 x 856 ) / 856

= 2 / 856

= 2

So, Greatest Common Divisor of 580, 660, 42, 856 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 704, 811, 82, 420
• GCD of 724, 544, 77, 517
• GCD of 766, 186, 34, 553
• GCD of 296, 472, 17, 635
• GCD of 141, 298, 37, 461

Given numbers are 580, 660, 42, 856
The greatest common divisor of numbers 580, 660, 42, 856 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 660, 42, 856 is 2.

1. What is the GCD of 580, 660, 42, 856?

GCD of given numbers 580, 660, 42, 856 is 2

2. How to calculate the greatest common divisor of 580, 660, 42, 856?

We can find the highest common divisor of 580, 660, 42, 856 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 580, 660, 42, 856 i.e 2.

3. How can I use the GCD of 580, 660, 42, 856Calculator?

Out the numbers 580, 660, 42, 856 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.