GCD of 106, 589, 87 Calculator

Given Input numbers are 106, 589, 87

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

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 589 :

The positive integer divisors of 589 that completely divides 589 are.

1, 19, 31, 589

Divisors of 87 :

The positive integer divisors of 87 that completely divides 87 are.

1, 3, 29, 87

GCD of numbers is the greatest common divisor

So, the GCD (106, 589, 87) = 1.

Given numbers are 106, 589, 87

The list of prime factors of all numbers are

Prime factors of 106 are 2 x 53

Prime factors of 589 are 19 x 31

Prime factors of 87 are 3 x 29

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

Given numbers are 106, 589, 87

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

Apply this formula for all numbers.

Step1:

LCM(106, 589) = 62434

GCD(106, 589) = ( 106 x 589 ) / 62434

= 106 / 589

= 106

Step2:

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

= 1 / 87

= 1

So, Greatest Common Divisor of 106, 589, 87 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 432, 525, 96
• GCD of 515, 136, 71
• GCD of 687, 473, 42
• GCD of 184, 869, 92
• GCD of 608, 373, 91

Given numbers are 106, 589, 87
The greatest common divisor of numbers 106, 589, 87 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 589, 87 is 1.

1. What is the GCD of 106, 589, 87?

GCD of given numbers 106, 589, 87 is 1

2. How to calculate the greatest common divisor of 106, 589, 87?

We can find the highest common divisor of 106, 589, 87 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 106, 589, 87 i.e 1.

3. How can I use the GCD of 106, 589, 87Calculator?

Out the numbers 106, 589, 87 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.