GCD of 852, 468, 891, 444 Calculator

Given Input numbers are 852, 468, 891, 444

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 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

GCD of numbers is the greatest common divisor

So, the GCD (852, 468, 891, 444) = 3.

Given numbers are 852, 468, 891, 444

The list of prime factors of all numbers are

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

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

Prime factors of 444 are 2 x 2 x 3 x 37

The highest common occurrence is 3¹

Therefore, GCD of 852, 468, 891, 444 is 3.

Given numbers are 852, 468, 891, 444

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

Apply this formula for all numbers.

Step1:

LCM(852, 468) = 33228

GCD(852, 468) = ( 852 x 468 ) / 33228

= 852 / 468

= 852

Step2:

LCM(12, 891) = 3564

GCD(12, 891) = ( 12 x 891 ) / 3564

= 12 / 891

= 12

Step3:

LCM(3, 444) = 444

GCD(3, 444) = ( 3 x 444 ) / 444

= 3 / 444

= 3

So, Greatest Common Divisor of 852, 468, 891, 444 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 401, 816, 572, 795
• GCD of 859, 854, 706, 649
• GCD of 379, 351, 896, 290
• GCD of 244, 775, 232, 815
• GCD of 443, 383, 458, 217

Given numbers are 852, 468, 891, 444
The greatest common divisor of numbers 852, 468, 891, 444 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 468, 891, 444 is 3.

1. What is the GCD of 852, 468, 891, 444?

GCD of given numbers 852, 468, 891, 444 is 3

2. How to calculate the greatest common divisor of 852, 468, 891, 444?

We can find the highest common divisor of 852, 468, 891, 444 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, 468, 891, 444 i.e 3.

3. How can I use the GCD of 852, 468, 891, 444Calculator?

Out the numbers 852, 468, 891, 444 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.