GCD of 513, 135, 912, 582 Calculator

Given Input numbers are 513, 135, 912, 582

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

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 135 :

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

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

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 582 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (513, 135, 912, 582) = 3.

Given numbers are 513, 135, 912, 582

The list of prime factors of all numbers are

Prime factors of 513 are 3 x 3 x 3 x 19

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

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 582 are 2 x 3 x 97

The highest common occurrence is 3¹

Therefore, GCD of 513, 135, 912, 582 is 3.

Given numbers are 513, 135, 912, 582

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

Apply this formula for all numbers.

Step1:

LCM(513, 135) = 2565

GCD(513, 135) = ( 513 x 135 ) / 2565

= 513 / 135

= 513

Step2:

LCM(27, 912) = 8208

GCD(27, 912) = ( 27 x 912 ) / 8208

= 27 / 912

= 27

Step3:

LCM(3, 582) = 582

GCD(3, 582) = ( 3 x 582 ) / 582

= 3 / 582

= 3

So, Greatest Common Divisor of 513, 135, 912, 582 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 211, 576, 817, 200
• GCD of 733, 203, 209, 946
• GCD of 832, 883, 863, 767
• GCD of 320, 185, 221, 635
• GCD of 900, 881, 715, 990

Given numbers are 513, 135, 912, 582
The greatest common divisor of numbers 513, 135, 912, 582 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 135, 912, 582 is 3.

1. What is the GCD of 513, 135, 912, 582?

GCD of given numbers 513, 135, 912, 582 is 3

2. How to calculate the greatest common divisor of 513, 135, 912, 582?

We can find the highest common divisor of 513, 135, 912, 582 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 513, 135, 912, 582 i.e 3.

3. How can I use the GCD of 513, 135, 912, 582Calculator?

Out the numbers 513, 135, 912, 582 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.