GCD of 516, 609, 120, 580 Calculator

Given Input numbers are 516, 609, 120, 580

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

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

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

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

GCD of numbers is the greatest common divisor

So, the GCD (516, 609, 120, 580) = 1.

Given numbers are 516, 609, 120, 580

The list of prime factors of all numbers are

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 609 are 3 x 7 x 29

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

Prime factors of 580 are 2 x 2 x 5 x 29

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

Given numbers are 516, 609, 120, 580

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

Apply this formula for all numbers.

Step1:

LCM(516, 609) = 104748

GCD(516, 609) = ( 516 x 609 ) / 104748

= 516 / 609

= 516

Step2:

LCM(3, 120) = 120

GCD(3, 120) = ( 3 x 120 ) / 120

= 3 / 120

= 3

Step3:

LCM(3, 580) = 1740

GCD(3, 580) = ( 3 x 580 ) / 1740

= 3 / 580

= 3

So, Greatest Common Divisor of 516, 609, 120, 580 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 801, 906, 101, 263
• GCD of 617, 208, 598, 557
• GCD of 660, 919, 308, 230
• GCD of 990, 274, 864, 358
• GCD of 815, 812, 224, 449

Given numbers are 516, 609, 120, 580
The greatest common divisor of numbers 516, 609, 120, 580 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 516, 609, 120, 580 is 1.

1. What is the GCD of 516, 609, 120, 580?

GCD of given numbers 516, 609, 120, 580 is 1

2. How to calculate the greatest common divisor of 516, 609, 120, 580?

We can find the highest common divisor of 516, 609, 120, 580 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 516, 609, 120, 580 i.e 1.

3. How can I use the GCD of 516, 609, 120, 580Calculator?

Out the numbers 516, 609, 120, 580 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.