GCD of 204, 638, 756, 355 Calculator

Given Input numbers are 204, 638, 756, 355

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

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

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 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

GCD of numbers is the greatest common divisor

So, the GCD (204, 638, 756, 355) = 1.

Given numbers are 204, 638, 756, 355

The list of prime factors of all numbers are

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 638 are 2 x 11 x 29

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

Prime factors of 355 are 5 x 71

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

Given numbers are 204, 638, 756, 355

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

Apply this formula for all numbers.

Step1:

LCM(204, 638) = 65076

GCD(204, 638) = ( 204 x 638 ) / 65076

= 204 / 638

= 204

Step2:

LCM(2, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

= 2 / 756

= 2

Step3:

LCM(2, 355) = 710

GCD(2, 355) = ( 2 x 355 ) / 710

= 2 / 355

= 2

So, Greatest Common Divisor of 204, 638, 756, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 925, 606, 140, 777
• GCD of 752, 817, 168, 731
• GCD of 738, 194, 479, 609
• GCD of 605, 245, 688, 768
• GCD of 890, 879, 811, 971

Given numbers are 204, 638, 756, 355
The greatest common divisor of numbers 204, 638, 756, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 638, 756, 355 is 1.

1. What is the GCD of 204, 638, 756, 355?

GCD of given numbers 204, 638, 756, 355 is 1

2. How to calculate the greatest common divisor of 204, 638, 756, 355?

We can find the highest common divisor of 204, 638, 756, 355 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 204, 638, 756, 355 i.e 1.

3. How can I use the GCD of 204, 638, 756, 355Calculator?

Out the numbers 204, 638, 756, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.