GCD of 586, 860, 21, 108 Calculator

Given Input numbers are 586, 860, 21, 108

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

Divisors of 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

Divisors of 860 :

The positive integer divisors of 860 that completely divides 860 are.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 21 :

The positive integer divisors of 21 that completely divides 21 are.

1, 3, 7, 21

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (586, 860, 21, 108) = 1.

Given numbers are 586, 860, 21, 108

The list of prime factors of all numbers are

Prime factors of 586 are 2 x 293

Prime factors of 860 are 2 x 2 x 5 x 43

Prime factors of 21 are 3 x 7

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

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

Given numbers are 586, 860, 21, 108

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

Apply this formula for all numbers.

Step1:

LCM(586, 860) = 251980

GCD(586, 860) = ( 586 x 860 ) / 251980

= 586 / 860

= 586

Step2:

LCM(2, 21) = 42

GCD(2, 21) = ( 2 x 21 ) / 42

= 2 / 21

= 2

Step3:

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

= 1 / 108

= 1

So, Greatest Common Divisor of 586, 860, 21, 108 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 845, 277, 59, 771
• GCD of 938, 836, 74, 938
• GCD of 560, 290, 59, 238
• GCD of 852, 270, 58, 355
• GCD of 814, 968, 60, 515

Given numbers are 586, 860, 21, 108
The greatest common divisor of numbers 586, 860, 21, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 586, 860, 21, 108 is 1.

1. What is the GCD of 586, 860, 21, 108?

GCD of given numbers 586, 860, 21, 108 is 1

2. How to calculate the greatest common divisor of 586, 860, 21, 108?

We can find the highest common divisor of 586, 860, 21, 108 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 586, 860, 21, 108 i.e 1.

3. How can I use the GCD of 586, 860, 21, 108Calculator?

Out the numbers 586, 860, 21, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.