GCD of 585, 680, 303, 714 Calculator

Given Input numbers are 585, 680, 303, 714

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

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

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

GCD of numbers is the greatest common divisor

So, the GCD (585, 680, 303, 714) = 1.

Given numbers are 585, 680, 303, 714

The list of prime factors of all numbers are

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 303 are 3 x 101

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

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

Given numbers are 585, 680, 303, 714

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

Apply this formula for all numbers.

Step1:

LCM(585, 680) = 79560

GCD(585, 680) = ( 585 x 680 ) / 79560

= 585 / 680

= 585

Step2:

LCM(5, 303) = 1515

GCD(5, 303) = ( 5 x 303 ) / 1515

= 5 / 303

= 5

Step3:

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

= 1 / 714

= 1

So, Greatest Common Divisor of 585, 680, 303, 714 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 488, 448, 531, 966
• GCD of 272, 465, 523, 105
• GCD of 901, 968, 508, 560
• GCD of 241, 629, 861, 596
• GCD of 407, 819, 531, 126

Given numbers are 585, 680, 303, 714
The greatest common divisor of numbers 585, 680, 303, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 680, 303, 714 is 1.

1. What is the GCD of 585, 680, 303, 714?

GCD of given numbers 585, 680, 303, 714 is 1

2. How to calculate the greatest common divisor of 585, 680, 303, 714?

We can find the highest common divisor of 585, 680, 303, 714 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 585, 680, 303, 714 i.e 1.

3. How can I use the GCD of 585, 680, 303, 714Calculator?

Out the numbers 585, 680, 303, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.