GCD of 522, 264, 844, 838 Calculator

Given Input numbers are 522, 264, 844, 838

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

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 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

GCD of numbers is the greatest common divisor

So, the GCD (522, 264, 844, 838) = 2.

Given numbers are 522, 264, 844, 838

The list of prime factors of all numbers are

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

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 844 are 2 x 2 x 211

Prime factors of 838 are 2 x 419

The highest common occurrence is 2¹

Therefore, GCD of 522, 264, 844, 838 is 2.

Given numbers are 522, 264, 844, 838

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

Apply this formula for all numbers.

Step1:

LCM(522, 264) = 22968

GCD(522, 264) = ( 522 x 264 ) / 22968

= 522 / 264

= 522

Step2:

LCM(6, 844) = 2532

GCD(6, 844) = ( 6 x 844 ) / 2532

= 6 / 844

= 6

Step3:

LCM(2, 838) = 838

GCD(2, 838) = ( 2 x 838 ) / 838

= 2 / 838

= 2

So, Greatest Common Divisor of 522, 264, 844, 838 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 831, 565, 271, 697
• GCD of 668, 124, 867, 975
• GCD of 142, 883, 170, 234
• GCD of 814, 621, 514, 731
• GCD of 711, 427, 831, 568

Given numbers are 522, 264, 844, 838
The greatest common divisor of numbers 522, 264, 844, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 264, 844, 838 is 2.

1. What is the GCD of 522, 264, 844, 838?

GCD of given numbers 522, 264, 844, 838 is 2

2. How to calculate the greatest common divisor of 522, 264, 844, 838?

We can find the highest common divisor of 522, 264, 844, 838 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 522, 264, 844, 838 i.e 2.

3. How can I use the GCD of 522, 264, 844, 838Calculator?

Out the numbers 522, 264, 844, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.