GCD of 585, 428, 502, 120 Calculator

Given Input numbers are 585, 428, 502, 120

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 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 502 :

The positive integer divisors of 502 that completely divides 502 are.

1, 2, 251, 502

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

GCD of numbers is the greatest common divisor

So, the GCD (585, 428, 502, 120) = 1.

Given numbers are 585, 428, 502, 120

The list of prime factors of all numbers are

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

Prime factors of 428 are 2 x 2 x 107

Prime factors of 502 are 2 x 251

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

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

Given numbers are 585, 428, 502, 120

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

Apply this formula for all numbers.

Step1:

LCM(585, 428) = 250380

GCD(585, 428) = ( 585 x 428 ) / 250380

= 585 / 428

= 585

Step2:

LCM(1, 502) = 502

GCD(1, 502) = ( 1 x 502 ) / 502

= 1 / 502

= 1

Step3:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1

So, Greatest Common Divisor of 585, 428, 502, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 718, 277, 529, 302
• GCD of 764, 819, 696, 258
• GCD of 718, 567, 270, 718
• GCD of 773, 521, 300, 246
• GCD of 125, 178, 729, 608

Given numbers are 585, 428, 502, 120
The greatest common divisor of numbers 585, 428, 502, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 428, 502, 120 is 1.

1. What is the GCD of 585, 428, 502, 120?

GCD of given numbers 585, 428, 502, 120 is 1

2. How to calculate the greatest common divisor of 585, 428, 502, 120?

We can find the highest common divisor of 585, 428, 502, 120 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, 428, 502, 120 i.e 1.

3. How can I use the GCD of 585, 428, 502, 120Calculator?

Out the numbers 585, 428, 502, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.