GCD of 585, 156, 732, 615 Calculator

Given Input numbers are 585, 156, 732, 615

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

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 615 :

The positive integer divisors of 615 that completely divides 615 are.

1, 3, 5, 15, 41, 123, 205, 615

GCD of numbers is the greatest common divisor

So, the GCD (585, 156, 732, 615) = 3.

Given numbers are 585, 156, 732, 615

The list of prime factors of all numbers are

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 156 are 2 x 2 x 3 x 13

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 615 are 3 x 5 x 41

The highest common occurrence is 3¹

Therefore, GCD of 585, 156, 732, 615 is 3.

Given numbers are 585, 156, 732, 615

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

Apply this formula for all numbers.

Step1:

LCM(585, 156) = 2340

GCD(585, 156) = ( 585 x 156 ) / 2340

= 585 / 156

= 585

Step2:

LCM(39, 732) = 9516

GCD(39, 732) = ( 39 x 732 ) / 9516

= 39 / 732

= 39

Step3:

LCM(3, 615) = 615

GCD(3, 615) = ( 3 x 615 ) / 615

= 3 / 615

= 3

So, Greatest Common Divisor of 585, 156, 732, 615 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 116, 251, 467, 934
• GCD of 396, 883, 717, 456
• GCD of 487, 149, 472, 651
• GCD of 373, 563, 899, 874
• GCD of 324, 201, 193, 717

Given numbers are 585, 156, 732, 615
The greatest common divisor of numbers 585, 156, 732, 615 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 156, 732, 615 is 3.

1. What is the GCD of 585, 156, 732, 615?

GCD of given numbers 585, 156, 732, 615 is 3

2. How to calculate the greatest common divisor of 585, 156, 732, 615?

We can find the highest common divisor of 585, 156, 732, 615 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 585, 156, 732, 615 i.e 3.

3. How can I use the GCD of 585, 156, 732, 615Calculator?

Out the numbers 585, 156, 732, 615 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.