GCD of 580, 714, 412, 717 Calculator

Given Input numbers are 580, 714, 412, 717

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

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 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 717 :

The positive integer divisors of 717 that completely divides 717 are.

1, 3, 239, 717

GCD of numbers is the greatest common divisor

So, the GCD (580, 714, 412, 717) = 1.

Given numbers are 580, 714, 412, 717

The list of prime factors of all numbers are

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

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 412 are 2 x 2 x 103

Prime factors of 717 are 3 x 239

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

Given numbers are 580, 714, 412, 717

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

Apply this formula for all numbers.

Step1:

LCM(580, 714) = 207060

GCD(580, 714) = ( 580 x 714 ) / 207060

= 580 / 714

= 580

Step2:

LCM(2, 412) = 412

GCD(2, 412) = ( 2 x 412 ) / 412

= 2 / 412

= 2

Step3:

LCM(2, 717) = 1434

GCD(2, 717) = ( 2 x 717 ) / 1434

= 2 / 717

= 2

So, Greatest Common Divisor of 580, 714, 412, 717 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 139, 116, 392, 378
• GCD of 540, 679, 654, 572
• GCD of 710, 992, 316, 375
• GCD of 123, 813, 937, 199
• GCD of 618, 396, 751, 759

Given numbers are 580, 714, 412, 717
The greatest common divisor of numbers 580, 714, 412, 717 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 714, 412, 717 is 1.

1. What is the GCD of 580, 714, 412, 717?

GCD of given numbers 580, 714, 412, 717 is 1

2. How to calculate the greatest common divisor of 580, 714, 412, 717?

We can find the highest common divisor of 580, 714, 412, 717 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 580, 714, 412, 717 i.e 1.

3. How can I use the GCD of 580, 714, 412, 717Calculator?

Out the numbers 580, 714, 412, 717 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.