GCD of 828, 492, 522 Calculator

Given Input numbers are 828, 492, 522

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 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

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 (828, 492, 522) = 6.

Given numbers are 828, 492, 522

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 492 are 2 x 2 x 3 x 41

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 828, 492, 522 is 6.

Given numbers are 828, 492, 522

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

Apply this formula for all numbers.

Step1:

LCM(828, 492) = 33948

GCD(828, 492) = ( 828 x 492 ) / 33948

= 828 / 492

= 828

Step2:

LCM(12, 522) = 1044

GCD(12, 522) = ( 12 x 522 ) / 1044

= 12 / 522

= 12

So, Greatest Common Divisor of 828, 492, 522 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 698, 720, 174
• GCD of 966, 270, 189
• GCD of 151, 135, 777
• GCD of 202, 722, 499
• GCD of 697, 874, 298

Given numbers are 828, 492, 522
The greatest common divisor of numbers 828, 492, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 492, 522 is 6.

1. What is the GCD of 828, 492, 522?

GCD of given numbers 828, 492, 522 is 6

2. How to calculate the greatest common divisor of 828, 492, 522?

We can find the highest common divisor of 828, 492, 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 828, 492, 522 i.e 6.

3. How can I use the GCD of 828, 492, 522Calculator?

Out the numbers 828, 492, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.