GCD of 585, 510, 180, 752 Calculator

Given Input numbers are 585, 510, 180, 752

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 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

GCD of numbers is the greatest common divisor

So, the GCD (585, 510, 180, 752) = 1.

Given numbers are 585, 510, 180, 752

The list of prime factors of all numbers are

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

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

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

Given numbers are 585, 510, 180, 752

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

Apply this formula for all numbers.

Step1:

LCM(585, 510) = 19890

GCD(585, 510) = ( 585 x 510 ) / 19890

= 585 / 510

= 585

Step2:

LCM(15, 180) = 180

GCD(15, 180) = ( 15 x 180 ) / 180

= 15 / 180

= 15

Step3:

LCM(15, 752) = 11280

GCD(15, 752) = ( 15 x 752 ) / 11280

= 15 / 752

= 15

So, Greatest Common Divisor of 585, 510, 180, 752 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 448, 899, 954, 818
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Given numbers are 585, 510, 180, 752
The greatest common divisor of numbers 585, 510, 180, 752 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 510, 180, 752 is 1.

1. What is the GCD of 585, 510, 180, 752?

GCD of given numbers 585, 510, 180, 752 is 1

2. How to calculate the greatest common divisor of 585, 510, 180, 752?

We can find the highest common divisor of 585, 510, 180, 752 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, 510, 180, 752 i.e 1.

3. How can I use the GCD of 585, 510, 180, 752Calculator?

Out the numbers 585, 510, 180, 752 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.