GCD of 831, 306, 522 Calculator

Given Input numbers are 831, 306, 522

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

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

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 (831, 306, 522) = 3.

Given numbers are 831, 306, 522

The list of prime factors of all numbers are

Prime factors of 831 are 3 x 277

Prime factors of 306 are 2 x 3 x 3 x 17

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

The highest common occurrence is 3¹

Therefore, GCD of 831, 306, 522 is 3.

Given numbers are 831, 306, 522

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

Apply this formula for all numbers.

Step1:

LCM(831, 306) = 84762

GCD(831, 306) = ( 831 x 306 ) / 84762

= 831 / 306

= 831

Step2:

LCM(3, 522) = 522

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

= 3 / 522

= 3

So, Greatest Common Divisor of 831, 306, 522 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 339, 120, 391
• GCD of 640, 366, 293
• GCD of 598, 400, 532
• GCD of 960, 474, 212
• GCD of 988, 542, 310

Given numbers are 831, 306, 522
The greatest common divisor of numbers 831, 306, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 831, 306, 522 is 3.

1. What is the GCD of 831, 306, 522?

GCD of given numbers 831, 306, 522 is 3

2. How to calculate the greatest common divisor of 831, 306, 522?

We can find the highest common divisor of 831, 306, 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 831, 306, 522 i.e 3.

3. How can I use the GCD of 831, 306, 522Calculator?

Out the numbers 831, 306, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.