GCD of 492, 856, 289, 422 Calculator

Given Input numbers are 492, 856, 289, 422

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 289 :

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

1, 17, 289

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 (492, 856, 289, 422) = 1.

Given numbers are 492, 856, 289, 422

The list of prime factors of all numbers are

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 856 are 2 x 2 x 2 x 107

Prime factors of 289 are 17 x 17

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 492, 856, 289, 422

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

Apply this formula for all numbers.

Step1:

LCM(492, 856) = 105288

GCD(492, 856) = ( 492 x 856 ) / 105288

= 492 / 856

= 492

Step2:

LCM(4, 289) = 1156

GCD(4, 289) = ( 4 x 289 ) / 1156

= 4 / 289

= 4

Step3:

LCM(1, 422) = 422

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

= 1 / 422

= 1

So, Greatest Common Divisor of 492, 856, 289, 422 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 451, 572, 707, 645
• GCD of 293, 291, 133, 165
• GCD of 233, 683, 261, 451
• GCD of 890, 938, 496, 551
• GCD of 742, 859, 740, 619

Given numbers are 492, 856, 289, 422
The greatest common divisor of numbers 492, 856, 289, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 856, 289, 422 is 1.

1. What is the GCD of 492, 856, 289, 422?

GCD of given numbers 492, 856, 289, 422 is 1

2. How to calculate the greatest common divisor of 492, 856, 289, 422?

We can find the highest common divisor of 492, 856, 289, 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 492, 856, 289, 422 i.e 1.

3. How can I use the GCD of 492, 856, 289, 422Calculator?

Out the numbers 492, 856, 289, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.