GCD of 689, 580, 582, 315 Calculator

Given Input numbers are 689, 580, 582, 315

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

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

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 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

GCD of numbers is the greatest common divisor

So, the GCD (689, 580, 582, 315) = 1.

Given numbers are 689, 580, 582, 315

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

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

Prime factors of 582 are 2 x 3 x 97

Prime factors of 315 are 3 x 3 x 5 x 7

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

Given numbers are 689, 580, 582, 315

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

Apply this formula for all numbers.

Step1:

LCM(689, 580) = 399620

GCD(689, 580) = ( 689 x 580 ) / 399620

= 689 / 580

= 689

Step2:

LCM(1, 582) = 582

GCD(1, 582) = ( 1 x 582 ) / 582

= 1 / 582

= 1

Step3:

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

= 1 / 315

= 1

So, Greatest Common Divisor of 689, 580, 582, 315 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 594, 607, 196, 854
• GCD of 700, 459, 371, 234
• GCD of 233, 215, 324, 744
• GCD of 987, 191, 577, 360
• GCD of 629, 936, 398, 799

Given numbers are 689, 580, 582, 315
The greatest common divisor of numbers 689, 580, 582, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 580, 582, 315 is 1.

1. What is the GCD of 689, 580, 582, 315?

GCD of given numbers 689, 580, 582, 315 is 1

2. How to calculate the greatest common divisor of 689, 580, 582, 315?

We can find the highest common divisor of 689, 580, 582, 315 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 689, 580, 582, 315 i.e 1.

3. How can I use the GCD of 689, 580, 582, 315Calculator?

Out the numbers 689, 580, 582, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.