GCD of 852, 442, 828, 556 Calculator

Given Input numbers are 852, 442, 828, 556

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

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

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

Divisors of 556 :

The positive integer divisors of 556 that completely divides 556 are.

1, 2, 4, 139, 278, 556

GCD of numbers is the greatest common divisor

So, the GCD (852, 442, 828, 556) = 2.

Given numbers are 852, 442, 828, 556

The list of prime factors of all numbers are

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 442 are 2 x 13 x 17

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

Prime factors of 556 are 2 x 2 x 139

The highest common occurrence is 2¹

Therefore, GCD of 852, 442, 828, 556 is 2.

Given numbers are 852, 442, 828, 556

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

Apply this formula for all numbers.

Step1:

LCM(852, 442) = 188292

GCD(852, 442) = ( 852 x 442 ) / 188292

= 852 / 442

= 852

Step2:

LCM(2, 828) = 828

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

= 2 / 828

= 2

Step3:

LCM(2, 556) = 556

GCD(2, 556) = ( 2 x 556 ) / 556

= 2 / 556

= 2

So, Greatest Common Divisor of 852, 442, 828, 556 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 765, 276, 543, 682
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Given numbers are 852, 442, 828, 556
The greatest common divisor of numbers 852, 442, 828, 556 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 442, 828, 556 is 2.

1. What is the GCD of 852, 442, 828, 556?

GCD of given numbers 852, 442, 828, 556 is 2

2. How to calculate the greatest common divisor of 852, 442, 828, 556?

We can find the highest common divisor of 852, 442, 828, 556 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 852, 442, 828, 556 i.e 2.

3. How can I use the GCD of 852, 442, 828, 556Calculator?

Out the numbers 852, 442, 828, 556 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.