GCD of 906, 231, 360, 522 Calculator

Given Input numbers are 906, 231, 360, 522

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

Divisors of 906 :

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

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

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

GCD of numbers is the greatest common divisor

So, the GCD (906, 231, 360, 522) = 3.

Given numbers are 906, 231, 360, 522

The list of prime factors of all numbers are

Prime factors of 906 are 2 x 3 x 151

Prime factors of 231 are 3 x 7 x 11

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 522 are 2 x 3 x 3 x 29

The highest common occurrence is 3¹

Therefore, GCD of 906, 231, 360, 522 is 3.

Given numbers are 906, 231, 360, 522

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

Apply this formula for all numbers.

Step1:

LCM(906, 231) = 69762

GCD(906, 231) = ( 906 x 231 ) / 69762

= 906 / 231

= 906

Step2:

LCM(3, 360) = 360

GCD(3, 360) = ( 3 x 360 ) / 360

= 3 / 360

= 3

Step3:

LCM(3, 522) = 522

GCD(3, 522) = ( 3 x 522 ) / 522

= 3 / 522

= 3

So, Greatest Common Divisor of 906, 231, 360, 522 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 777, 133, 500, 601
• GCD of 922, 125, 825, 310
• GCD of 770, 515, 207, 199
• GCD of 740, 733, 246, 320
• GCD of 907, 937, 281, 520

Given numbers are 906, 231, 360, 522
The greatest common divisor of numbers 906, 231, 360, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 906, 231, 360, 522 is 3.

1. What is the GCD of 906, 231, 360, 522?

GCD of given numbers 906, 231, 360, 522 is 3

2. How to calculate the greatest common divisor of 906, 231, 360, 522?

We can find the highest common divisor of 906, 231, 360, 522 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 906, 231, 360, 522 i.e 3.

3. How can I use the GCD of 906, 231, 360, 522Calculator?

Out the numbers 906, 231, 360, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.