GCD of 104, 828, 322, 638 Calculator

Given Input numbers are 104, 828, 322, 638

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

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 638 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (104, 828, 322, 638) = 2.

Given numbers are 104, 828, 322, 638

The list of prime factors of all numbers are

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 322 are 2 x 7 x 23

Prime factors of 638 are 2 x 11 x 29

The highest common occurrence is 2¹

Therefore, GCD of 104, 828, 322, 638 is 2.

Given numbers are 104, 828, 322, 638

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

Apply this formula for all numbers.

Step1:

LCM(104, 828) = 21528

GCD(104, 828) = ( 104 x 828 ) / 21528

= 104 / 828

= 104

Step2:

LCM(4, 322) = 644

GCD(4, 322) = ( 4 x 322 ) / 644

= 4 / 322

= 4

Step3:

LCM(2, 638) = 638

GCD(2, 638) = ( 2 x 638 ) / 638

= 2 / 638

= 2

So, Greatest Common Divisor of 104, 828, 322, 638 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 967, 144, 506, 844
• GCD of 230, 255, 430, 306
• GCD of 268, 924, 165, 996
• GCD of 733, 328, 667, 569
• GCD of 742, 801, 615, 650

Given numbers are 104, 828, 322, 638
The greatest common divisor of numbers 104, 828, 322, 638 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 828, 322, 638 is 2.

1. What is the GCD of 104, 828, 322, 638?

GCD of given numbers 104, 828, 322, 638 is 2

2. How to calculate the greatest common divisor of 104, 828, 322, 638?

We can find the highest common divisor of 104, 828, 322, 638 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 104, 828, 322, 638 i.e 2.

3. How can I use the GCD of 104, 828, 322, 638Calculator?

Out the numbers 104, 828, 322, 638 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.