GCD of 852, 872, 564, 396 Calculator

Given Input numbers are 852, 872, 564, 396

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 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

GCD of numbers is the greatest common divisor

So, the GCD (852, 872, 564, 396) = 4.

Given numbers are 852, 872, 564, 396

The list of prime factors of all numbers are

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

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

The highest common occurrence is 2²

Therefore, GCD of 852, 872, 564, 396 is 4.

Given numbers are 852, 872, 564, 396

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

Apply this formula for all numbers.

Step1:

LCM(852, 872) = 185736

GCD(852, 872) = ( 852 x 872 ) / 185736

= 852 / 872

= 852

Step2:

LCM(4, 564) = 564

GCD(4, 564) = ( 4 x 564 ) / 564

= 4 / 564

= 4

Step3:

LCM(4, 396) = 396

GCD(4, 396) = ( 4 x 396 ) / 396

= 4 / 396

= 4

So, Greatest Common Divisor of 852, 872, 564, 396 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 114, 469, 533, 502
• GCD of 703, 925, 527, 247
• GCD of 717, 612, 251, 561
• GCD of 439, 349, 636, 117
• GCD of 733, 239, 313, 838

Given numbers are 852, 872, 564, 396
The greatest common divisor of numbers 852, 872, 564, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 872, 564, 396 is 4.

1. What is the GCD of 852, 872, 564, 396?

GCD of given numbers 852, 872, 564, 396 is 4

2. How to calculate the greatest common divisor of 852, 872, 564, 396?

We can find the highest common divisor of 852, 872, 564, 396 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, 872, 564, 396 i.e 4.

3. How can I use the GCD of 852, 872, 564, 396Calculator?

Out the numbers 852, 872, 564, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.