GCD of 634, 204, 728, 438 Calculator

Given Input numbers are 634, 204, 728, 438

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

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

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 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

GCD of numbers is the greatest common divisor

So, the GCD (634, 204, 728, 438) = 2.

Given numbers are 634, 204, 728, 438

The list of prime factors of all numbers are

Prime factors of 634 are 2 x 317

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

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 438 are 2 x 3 x 73

The highest common occurrence is 2¹

Therefore, GCD of 634, 204, 728, 438 is 2.

Given numbers are 634, 204, 728, 438

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

Apply this formula for all numbers.

Step1:

LCM(634, 204) = 64668

GCD(634, 204) = ( 634 x 204 ) / 64668

= 634 / 204

= 634

Step2:

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

= 2 / 728

= 2

Step3:

LCM(2, 438) = 438

GCD(2, 438) = ( 2 x 438 ) / 438

= 2 / 438

= 2

So, Greatest Common Divisor of 634, 204, 728, 438 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 752, 800, 462, 100
• GCD of 395, 445, 263, 881
• GCD of 516, 821, 835, 435
• GCD of 580, 686, 833, 765
• GCD of 513, 430, 696, 144

Given numbers are 634, 204, 728, 438
The greatest common divisor of numbers 634, 204, 728, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 634, 204, 728, 438 is 2.

1. What is the GCD of 634, 204, 728, 438?

GCD of given numbers 634, 204, 728, 438 is 2

2. How to calculate the greatest common divisor of 634, 204, 728, 438?

We can find the highest common divisor of 634, 204, 728, 438 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 634, 204, 728, 438 i.e 2.

3. How can I use the GCD of 634, 204, 728, 438Calculator?

Out the numbers 634, 204, 728, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.