GCD of 507, 285, 36 Calculator

Given Input numbers are 507, 285, 36

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

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 285 :

The positive integer divisors of 285 that completely divides 285 are.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 36 :

The positive integer divisors of 36 that completely divides 36 are.

1, 2, 3, 4, 6, 9, 12, 18, 36

GCD of numbers is the greatest common divisor

So, the GCD (507, 285, 36) = 3.

Given numbers are 507, 285, 36

The list of prime factors of all numbers are

Prime factors of 507 are 3 x 13 x 13

Prime factors of 285 are 3 x 5 x 19

Prime factors of 36 are 2 x 2 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 507, 285, 36 is 3.

Given numbers are 507, 285, 36

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

Apply this formula for all numbers.

Step1:

LCM(507, 285) = 48165

GCD(507, 285) = ( 507 x 285 ) / 48165

= 507 / 285

= 507

Step2:

LCM(3, 36) = 36

GCD(3, 36) = ( 3 x 36 ) / 36

= 3 / 36

= 3

So, Greatest Common Divisor of 507, 285, 36 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 660, 337, 40
• GCD of 815, 511, 17
• GCD of 150, 814, 36
• GCD of 554, 612, 77
• GCD of 895, 167, 54

Given numbers are 507, 285, 36
The greatest common divisor of numbers 507, 285, 36 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 507, 285, 36 is 3.

1. What is the GCD of 507, 285, 36?

GCD of given numbers 507, 285, 36 is 3

2. How to calculate the greatest common divisor of 507, 285, 36?

We can find the highest common divisor of 507, 285, 36 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 507, 285, 36 i.e 3.

3. How can I use the GCD of 507, 285, 36Calculator?

Out the numbers 507, 285, 36 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.