GCD of 296, 522, 442, 828 Calculator

Given Input numbers are 296, 522, 442, 828

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

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

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

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

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

GCD of numbers is the greatest common divisor

So, the GCD (296, 522, 442, 828) = 2.

Given numbers are 296, 522, 442, 828

The list of prime factors of all numbers are

Prime factors of 296 are 2 x 2 x 2 x 37

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

Prime factors of 442 are 2 x 13 x 17

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 296, 522, 442, 828 is 2.

Given numbers are 296, 522, 442, 828

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

Apply this formula for all numbers.

Step1:

LCM(296, 522) = 77256

GCD(296, 522) = ( 296 x 522 ) / 77256

= 296 / 522

= 296

Step2:

LCM(2, 442) = 442

GCD(2, 442) = ( 2 x 442 ) / 442

= 2 / 442

= 2

Step3:

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

= 2 / 828

= 2

So, Greatest Common Divisor of 296, 522, 442, 828 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 988, 398, 227, 109
• GCD of 365, 920, 914, 894
• GCD of 272, 195, 611, 620
• GCD of 822, 292, 931, 852
• GCD of 727, 384, 187, 715

Given numbers are 296, 522, 442, 828
The greatest common divisor of numbers 296, 522, 442, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 296, 522, 442, 828 is 2.

1. What is the GCD of 296, 522, 442, 828?

GCD of given numbers 296, 522, 442, 828 is 2

2. How to calculate the greatest common divisor of 296, 522, 442, 828?

We can find the highest common divisor of 296, 522, 442, 828 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 296, 522, 442, 828 i.e 2.

3. How can I use the GCD of 296, 522, 442, 828Calculator?

Out the numbers 296, 522, 442, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.