GCD of 135, 581, 582, 312 Calculator

Given Input numbers are 135, 581, 582, 312

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

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 581 :

The positive integer divisors of 581 that completely divides 581 are.

1, 7, 83, 581

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

GCD of numbers is the greatest common divisor

So, the GCD (135, 581, 582, 312) = 1.

Given numbers are 135, 581, 582, 312

The list of prime factors of all numbers are

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 581 are 7 x 83

Prime factors of 582 are 2 x 3 x 97

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

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

Given numbers are 135, 581, 582, 312

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

Apply this formula for all numbers.

Step1:

LCM(135, 581) = 78435

GCD(135, 581) = ( 135 x 581 ) / 78435

= 135 / 581

= 135

Step2:

LCM(1, 582) = 582

GCD(1, 582) = ( 1 x 582 ) / 582

= 1 / 582

= 1

Step3:

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

= 1 / 312

= 1

So, Greatest Common Divisor of 135, 581, 582, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 552, 925, 789, 209
• GCD of 134, 206, 165, 989
• GCD of 320, 396, 511, 818
• GCD of 709, 728, 687, 809
• GCD of 355, 106, 543, 510

Given numbers are 135, 581, 582, 312
The greatest common divisor of numbers 135, 581, 582, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 581, 582, 312 is 1.

1. What is the GCD of 135, 581, 582, 312?

GCD of given numbers 135, 581, 582, 312 is 1

2. How to calculate the greatest common divisor of 135, 581, 582, 312?

We can find the highest common divisor of 135, 581, 582, 312 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 135, 581, 582, 312 i.e 1.

3. How can I use the GCD of 135, 581, 582, 312Calculator?

Out the numbers 135, 581, 582, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.