GCD of 424, 321, 580, 514 Calculator

Given Input numbers are 424, 321, 580, 514

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

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

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

Divisors of 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

GCD of numbers is the greatest common divisor

So, the GCD (424, 321, 580, 514) = 1.

Given numbers are 424, 321, 580, 514

The list of prime factors of all numbers are

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 321 are 3 x 107

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

Prime factors of 514 are 2 x 257

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

Given numbers are 424, 321, 580, 514

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

Apply this formula for all numbers.

Step1:

LCM(424, 321) = 136104

GCD(424, 321) = ( 424 x 321 ) / 136104

= 424 / 321

= 424

Step2:

LCM(1, 580) = 580

GCD(1, 580) = ( 1 x 580 ) / 580

= 1 / 580

= 1

Step3:

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

= 1 / 514

= 1

So, Greatest Common Divisor of 424, 321, 580, 514 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 487, 308, 326, 282
• GCD of 474, 907, 645, 391
• GCD of 578, 568, 838, 569
• GCD of 217, 973, 811, 468
• GCD of 361, 998, 596, 432

Given numbers are 424, 321, 580, 514
The greatest common divisor of numbers 424, 321, 580, 514 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 321, 580, 514 is 1.

1. What is the GCD of 424, 321, 580, 514?

GCD of given numbers 424, 321, 580, 514 is 1

2. How to calculate the greatest common divisor of 424, 321, 580, 514?

We can find the highest common divisor of 424, 321, 580, 514 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 424, 321, 580, 514 i.e 1.

3. How can I use the GCD of 424, 321, 580, 514Calculator?

Out the numbers 424, 321, 580, 514 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.