GCD of 828, 396, 897, 408 Calculator

Given Input numbers are 828, 396, 897, 408

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 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

GCD of numbers is the greatest common divisor

So, the GCD (828, 396, 897, 408) = 3.

Given numbers are 828, 396, 897, 408

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 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 897 are 3 x 13 x 23

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 828, 396, 897, 408 is 3.

Given numbers are 828, 396, 897, 408

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

Apply this formula for all numbers.

Step1:

LCM(828, 396) = 9108

GCD(828, 396) = ( 828 x 396 ) / 9108

= 828 / 396

= 828

Step2:

LCM(36, 897) = 10764

GCD(36, 897) = ( 36 x 897 ) / 10764

= 36 / 897

= 36

Step3:

LCM(3, 408) = 408

GCD(3, 408) = ( 3 x 408 ) / 408

= 3 / 408

= 3

So, Greatest Common Divisor of 828, 396, 897, 408 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 374, 493, 744, 261
• GCD of 770, 705, 279, 313
• GCD of 799, 736, 885, 560
• GCD of 980, 951, 232, 248
• GCD of 122, 731, 766, 493

Given numbers are 828, 396, 897, 408
The greatest common divisor of numbers 828, 396, 897, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 396, 897, 408 is 3.

1. What is the GCD of 828, 396, 897, 408?

GCD of given numbers 828, 396, 897, 408 is 3

2. How to calculate the greatest common divisor of 828, 396, 897, 408?

We can find the highest common divisor of 828, 396, 897, 408 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, 396, 897, 408 i.e 3.

3. How can I use the GCD of 828, 396, 897, 408Calculator?

Out the numbers 828, 396, 897, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.