GCD of 612, 474, 724, 580 Calculator

Given Input numbers are 612, 474, 724, 580

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

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

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 (612, 474, 724, 580) = 2.

Given numbers are 612, 474, 724, 580

The list of prime factors of all numbers are

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 474 are 2 x 3 x 79

Prime factors of 724 are 2 x 2 x 181

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

The highest common occurrence is 2¹

Therefore, GCD of 612, 474, 724, 580 is 2.

Given numbers are 612, 474, 724, 580

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

Apply this formula for all numbers.

Step1:

LCM(612, 474) = 48348

GCD(612, 474) = ( 612 x 474 ) / 48348

= 612 / 474

= 612

Step2:

LCM(6, 724) = 2172

GCD(6, 724) = ( 6 x 724 ) / 2172

= 6 / 724

= 6

Step3:

LCM(2, 580) = 580

GCD(2, 580) = ( 2 x 580 ) / 580

= 2 / 580

= 2

So, Greatest Common Divisor of 612, 474, 724, 580 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 301, 731, 503, 968
• GCD of 198, 312, 174, 746
• GCD of 555, 406, 752, 905
• GCD of 514, 726, 398, 458
• GCD of 103, 403, 786, 144

Given numbers are 612, 474, 724, 580
The greatest common divisor of numbers 612, 474, 724, 580 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 612, 474, 724, 580 is 2.

1. What is the GCD of 612, 474, 724, 580?

GCD of given numbers 612, 474, 724, 580 is 2

2. How to calculate the greatest common divisor of 612, 474, 724, 580?

We can find the highest common divisor of 612, 474, 724, 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 612, 474, 724, 580 i.e 2.

3. How can I use the GCD of 612, 474, 724, 580Calculator?

Out the numbers 612, 474, 724, 580 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.