GCD of 396, 417, 636, 906 Calculator

Given Input numbers are 396, 417, 636, 906

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

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 417 :

The positive integer divisors of 417 that completely divides 417 are.

1, 3, 139, 417

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906

GCD of numbers is the greatest common divisor

So, the GCD (396, 417, 636, 906) = 3.

Given numbers are 396, 417, 636, 906

The list of prime factors of all numbers are

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 417 are 3 x 139

Prime factors of 636 are 2 x 2 x 3 x 53

Prime factors of 906 are 2 x 3 x 151

The highest common occurrence is 3¹

Therefore, GCD of 396, 417, 636, 906 is 3.

Given numbers are 396, 417, 636, 906

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

Apply this formula for all numbers.

Step1:

LCM(396, 417) = 55044

GCD(396, 417) = ( 396 x 417 ) / 55044

= 396 / 417

= 396

Step2:

LCM(3, 636) = 636

GCD(3, 636) = ( 3 x 636 ) / 636

= 3 / 636

= 3

Step3:

LCM(3, 906) = 906

GCD(3, 906) = ( 3 x 906 ) / 906

= 3 / 906

= 3

So, Greatest Common Divisor of 396, 417, 636, 906 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 352, 325, 105, 532
• GCD of 671, 227, 656, 250
• GCD of 315, 943, 348, 751
• GCD of 234, 704, 831, 721
• GCD of 740, 928, 982, 815

Given numbers are 396, 417, 636, 906
The greatest common divisor of numbers 396, 417, 636, 906 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 417, 636, 906 is 3.

1. What is the GCD of 396, 417, 636, 906?

GCD of given numbers 396, 417, 636, 906 is 3

2. How to calculate the greatest common divisor of 396, 417, 636, 906?

We can find the highest common divisor of 396, 417, 636, 906 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 396, 417, 636, 906 i.e 3.

3. How can I use the GCD of 396, 417, 636, 906Calculator?

Out the numbers 396, 417, 636, 906 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.