GCD of 828, 382, 900, 442 Calculator

Given Input numbers are 828, 382, 900, 442

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

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 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

GCD of numbers is the greatest common divisor

So, the GCD (828, 382, 900, 442) = 2.

Given numbers are 828, 382, 900, 442

The list of prime factors of all numbers are

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

Prime factors of 382 are 2 x 191

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 442 are 2 x 13 x 17

The highest common occurrence is 2¹

Therefore, GCD of 828, 382, 900, 442 is 2.

Given numbers are 828, 382, 900, 442

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

Apply this formula for all numbers.

Step1:

LCM(828, 382) = 158148

GCD(828, 382) = ( 828 x 382 ) / 158148

= 828 / 382

= 828

Step2:

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

= 2 / 900

= 2

Step3:

LCM(2, 442) = 442

GCD(2, 442) = ( 2 x 442 ) / 442

= 2 / 442

= 2

So, Greatest Common Divisor of 828, 382, 900, 442 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 730, 452, 549, 216
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Given numbers are 828, 382, 900, 442
The greatest common divisor of numbers 828, 382, 900, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 382, 900, 442 is 2.

1. What is the GCD of 828, 382, 900, 442?

GCD of given numbers 828, 382, 900, 442 is 2

2. How to calculate the greatest common divisor of 828, 382, 900, 442?

We can find the highest common divisor of 828, 382, 900, 442 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 828, 382, 900, 442 i.e 2.

3. How can I use the GCD of 828, 382, 900, 442Calculator?

Out the numbers 828, 382, 900, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.