GCD of 289, 640, 852, 422 Calculator

Given Input numbers are 289, 640, 852, 422

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

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 640 :

The positive integer divisors of 640 that completely divides 640 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

GCD of numbers is the greatest common divisor

So, the GCD (289, 640, 852, 422) = 1.

Given numbers are 289, 640, 852, 422

The list of prime factors of all numbers are

Prime factors of 289 are 17 x 17

Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 422 are 2 x 211

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

Given numbers are 289, 640, 852, 422

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

Apply this formula for all numbers.

Step1:

LCM(289, 640) = 184960

GCD(289, 640) = ( 289 x 640 ) / 184960

= 289 / 640

= 289

Step2:

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

= 1 / 852

= 1

Step3:

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

= 1 / 422

= 1

So, Greatest Common Divisor of 289, 640, 852, 422 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 264, 317, 711, 144
• GCD of 266, 268, 360, 655
• GCD of 774, 488, 977, 800
• GCD of 736, 289, 596, 744
• GCD of 107, 180, 553, 173

Given numbers are 289, 640, 852, 422
The greatest common divisor of numbers 289, 640, 852, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 640, 852, 422 is 1.

1. What is the GCD of 289, 640, 852, 422?

GCD of given numbers 289, 640, 852, 422 is 1

2. How to calculate the greatest common divisor of 289, 640, 852, 422?

We can find the highest common divisor of 289, 640, 852, 422 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 289, 640, 852, 422 i.e 1.

3. How can I use the GCD of 289, 640, 852, 422Calculator?

Out the numbers 289, 640, 852, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.