GCD of 322, 684, 267, 720 Calculator

Given Input numbers are 322, 684, 267, 720

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

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

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

GCD of numbers is the greatest common divisor

So, the GCD (322, 684, 267, 720) = 1.

Given numbers are 322, 684, 267, 720

The list of prime factors of all numbers are

Prime factors of 322 are 2 x 7 x 23

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 267 are 3 x 89

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

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

Given numbers are 322, 684, 267, 720

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

Apply this formula for all numbers.

Step1:

LCM(322, 684) = 110124

GCD(322, 684) = ( 322 x 684 ) / 110124

= 322 / 684

= 322

Step2:

LCM(2, 267) = 534

GCD(2, 267) = ( 2 x 267 ) / 534

= 2 / 267

= 2

Step3:

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

= 1 / 720

= 1

So, Greatest Common Divisor of 322, 684, 267, 720 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 289, 155, 680, 704
• GCD of 466, 516, 707, 689
• GCD of 773, 630, 236, 598
• GCD of 292, 732, 556, 220
• GCD of 917, 917, 965, 728

Given numbers are 322, 684, 267, 720
The greatest common divisor of numbers 322, 684, 267, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 322, 684, 267, 720 is 1.

1. What is the GCD of 322, 684, 267, 720?

GCD of given numbers 322, 684, 267, 720 is 1

2. How to calculate the greatest common divisor of 322, 684, 267, 720?

We can find the highest common divisor of 322, 684, 267, 720 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 322, 684, 267, 720 i.e 1.

3. How can I use the GCD of 322, 684, 267, 720Calculator?

Out the numbers 322, 684, 267, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.