GCD of 469, 384, 756, 422 Calculator

Given Input numbers are 469, 384, 756, 422

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

Divisors of 469 :

The positive integer divisors of 469 that completely divides 469 are.

1, 7, 67, 469

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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 (469, 384, 756, 422) = 1.

Given numbers are 469, 384, 756, 422

The list of prime factors of all numbers are

Prime factors of 469 are 7 x 67

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

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 469, 384, 756, 422

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

Apply this formula for all numbers.

Step1:

LCM(469, 384) = 180096

GCD(469, 384) = ( 469 x 384 ) / 180096

= 469 / 384

= 469

Step2:

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

= 1 / 756

= 1

Step3:

LCM(1, 422) = 422

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

= 1 / 422

= 1

So, Greatest Common Divisor of 469, 384, 756, 422 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 179, 644, 725, 498
• GCD of 582, 760, 802, 485
• GCD of 440, 869, 534, 612
• GCD of 647, 268, 281, 319
• GCD of 463, 566, 364, 944

Given numbers are 469, 384, 756, 422
The greatest common divisor of numbers 469, 384, 756, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 469, 384, 756, 422 is 1.

1. What is the GCD of 469, 384, 756, 422?

GCD of given numbers 469, 384, 756, 422 is 1

2. How to calculate the greatest common divisor of 469, 384, 756, 422?

We can find the highest common divisor of 469, 384, 756, 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 469, 384, 756, 422 i.e 1.

3. How can I use the GCD of 469, 384, 756, 422Calculator?

Out the numbers 469, 384, 756, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.