GCD of 152, 780, 590, 509 Calculator

Given Input numbers are 152, 780, 590, 509

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

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

GCD of numbers is the greatest common divisor

So, the GCD (152, 780, 590, 509) = 1.

Given numbers are 152, 780, 590, 509

The list of prime factors of all numbers are

Prime factors of 152 are 2 x 2 x 2 x 19

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 590 are 2 x 5 x 59

Prime factors of 509 are 509

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

Given numbers are 152, 780, 590, 509

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

Apply this formula for all numbers.

Step1:

LCM(152, 780) = 29640

GCD(152, 780) = ( 152 x 780 ) / 29640

= 152 / 780

= 152

Step2:

LCM(4, 590) = 1180

GCD(4, 590) = ( 4 x 590 ) / 1180

= 4 / 590

= 4

Step3:

LCM(2, 509) = 1018

GCD(2, 509) = ( 2 x 509 ) / 1018

= 2 / 509

= 2

So, Greatest Common Divisor of 152, 780, 590, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 287, 133, 542, 471
• GCD of 941, 410, 370, 189
• GCD of 204, 726, 328, 179
• GCD of 169, 477, 906, 887
• GCD of 594, 126, 940, 517

Given numbers are 152, 780, 590, 509
The greatest common divisor of numbers 152, 780, 590, 509 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 152, 780, 590, 509 is 1.

1. What is the GCD of 152, 780, 590, 509?

GCD of given numbers 152, 780, 590, 509 is 1

2. How to calculate the greatest common divisor of 152, 780, 590, 509?

We can find the highest common divisor of 152, 780, 590, 509 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 152, 780, 590, 509 i.e 1.

3. How can I use the GCD of 152, 780, 590, 509Calculator?

Out the numbers 152, 780, 590, 509 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.