GCD of 891, 756, 201, 396 Calculator

Given Input numbers are 891, 756, 201, 396

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

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 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 201 :

The positive integer divisors of 201 that completely divides 201 are.

1, 3, 67, 201

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 (891, 756, 201, 396) = 3.

Given numbers are 891, 756, 201, 396

The list of prime factors of all numbers are

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

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 201 are 3 x 67

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

The highest common occurrence is 3¹

Therefore, GCD of 891, 756, 201, 396 is 3.

Given numbers are 891, 756, 201, 396

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

Apply this formula for all numbers.

Step1:

LCM(891, 756) = 24948

GCD(891, 756) = ( 891 x 756 ) / 24948

= 891 / 756

= 891

Step2:

LCM(27, 201) = 1809

GCD(27, 201) = ( 27 x 201 ) / 1809

= 27 / 201

= 27

Step3:

LCM(3, 396) = 396

GCD(3, 396) = ( 3 x 396 ) / 396

= 3 / 396

= 3

So, Greatest Common Divisor of 891, 756, 201, 396 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 329, 869, 930, 565
• GCD of 940, 272, 993, 309
• GCD of 745, 118, 817, 429
• GCD of 329, 912, 433, 796
• GCD of 649, 781, 758, 670

Given numbers are 891, 756, 201, 396
The greatest common divisor of numbers 891, 756, 201, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 891, 756, 201, 396 is 3.

1. What is the GCD of 891, 756, 201, 396?

GCD of given numbers 891, 756, 201, 396 is 3

2. How to calculate the greatest common divisor of 891, 756, 201, 396?

We can find the highest common divisor of 891, 756, 201, 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 891, 756, 201, 396 i.e 3.

3. How can I use the GCD of 891, 756, 201, 396Calculator?

Out the numbers 891, 756, 201, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.