GCD of 720, 264, 314, 683 Calculator

Given Input numbers are 720, 264, 314, 683

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

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 683 :

The positive integer divisors of 683 that completely divides 683 are.

1, 683

GCD of numbers is the greatest common divisor

So, the GCD (720, 264, 314, 683) = 1.

Given numbers are 720, 264, 314, 683

The list of prime factors of all numbers are

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 314 are 2 x 157

Prime factors of 683 are 683

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

Given numbers are 720, 264, 314, 683

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

Apply this formula for all numbers.

Step1:

LCM(720, 264) = 7920

GCD(720, 264) = ( 720 x 264 ) / 7920

= 720 / 264

= 720

Step2:

LCM(24, 314) = 3768

GCD(24, 314) = ( 24 x 314 ) / 3768

= 24 / 314

= 24

Step3:

LCM(2, 683) = 1366

GCD(2, 683) = ( 2 x 683 ) / 1366

= 2 / 683

= 2

So, Greatest Common Divisor of 720, 264, 314, 683 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 605, 974, 928, 635
• GCD of 873, 746, 359, 364
• GCD of 320, 566, 258, 361
• GCD of 304, 386, 108, 445
• GCD of 829, 756, 849, 883

Given numbers are 720, 264, 314, 683
The greatest common divisor of numbers 720, 264, 314, 683 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 264, 314, 683 is 1.

1. What is the GCD of 720, 264, 314, 683?

GCD of given numbers 720, 264, 314, 683 is 1

2. How to calculate the greatest common divisor of 720, 264, 314, 683?

We can find the highest common divisor of 720, 264, 314, 683 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 720, 264, 314, 683 i.e 1.

3. How can I use the GCD of 720, 264, 314, 683Calculator?

Out the numbers 720, 264, 314, 683 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.