GCD of 180, 334, 806, 522 Calculator

Given Input numbers are 180, 334, 806, 522

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

Divisors of 806 :

The positive integer divisors of 806 that completely divides 806 are.

1, 2, 13, 26, 31, 62, 403, 806

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 (180, 334, 806, 522) = 2.

Given numbers are 180, 334, 806, 522

The list of prime factors of all numbers are

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 334 are 2 x 167

Prime factors of 806 are 2 x 13 x 31

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

The highest common occurrence is 2¹

Therefore, GCD of 180, 334, 806, 522 is 2.

Given numbers are 180, 334, 806, 522

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

Apply this formula for all numbers.

Step1:

LCM(180, 334) = 30060

GCD(180, 334) = ( 180 x 334 ) / 30060

= 180 / 334

= 180

Step2:

LCM(2, 806) = 806

GCD(2, 806) = ( 2 x 806 ) / 806

= 2 / 806

= 2

Step3:

LCM(2, 522) = 522

GCD(2, 522) = ( 2 x 522 ) / 522

= 2 / 522

= 2

So, Greatest Common Divisor of 180, 334, 806, 522 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 133, 925, 139, 187
• GCD of 217, 326, 408, 183
• GCD of 486, 481, 443, 956
• GCD of 367, 353, 635, 418
• GCD of 696, 864, 800, 736

Given numbers are 180, 334, 806, 522
The greatest common divisor of numbers 180, 334, 806, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 334, 806, 522 is 2.

1. What is the GCD of 180, 334, 806, 522?

GCD of given numbers 180, 334, 806, 522 is 2

2. How to calculate the greatest common divisor of 180, 334, 806, 522?

We can find the highest common divisor of 180, 334, 806, 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 180, 334, 806, 522 i.e 2.

3. How can I use the GCD of 180, 334, 806, 522Calculator?

Out the numbers 180, 334, 806, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.