GCD of 156, 459, 663, 891 Calculator

Given Input numbers are 156, 459, 663, 891

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

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 459 :

The positive integer divisors of 459 that completely divides 459 are.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 663 :

The positive integer divisors of 663 that completely divides 663 are.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 891 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (156, 459, 663, 891) = 3.

Given numbers are 156, 459, 663, 891

The list of prime factors of all numbers are

Prime factors of 156 are 2 x 2 x 3 x 13

Prime factors of 459 are 3 x 3 x 3 x 17

Prime factors of 663 are 3 x 13 x 17

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

The highest common occurrence is 3¹

Therefore, GCD of 156, 459, 663, 891 is 3.

Given numbers are 156, 459, 663, 891

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

Apply this formula for all numbers.

Step1:

LCM(156, 459) = 23868

GCD(156, 459) = ( 156 x 459 ) / 23868

= 156 / 459

= 156

Step2:

LCM(3, 663) = 663

GCD(3, 663) = ( 3 x 663 ) / 663

= 3 / 663

= 3

Step3:

LCM(3, 891) = 891

GCD(3, 891) = ( 3 x 891 ) / 891

= 3 / 891

= 3

So, Greatest Common Divisor of 156, 459, 663, 891 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 992, 534, 926, 738
• GCD of 919, 426, 843, 404
• GCD of 702, 745, 453, 598
• GCD of 274, 695, 710, 962
• GCD of 935, 620, 327, 823

Given numbers are 156, 459, 663, 891
The greatest common divisor of numbers 156, 459, 663, 891 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 156, 459, 663, 891 is 3.

1. What is the GCD of 156, 459, 663, 891?

GCD of given numbers 156, 459, 663, 891 is 3

2. How to calculate the greatest common divisor of 156, 459, 663, 891?

We can find the highest common divisor of 156, 459, 663, 891 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 156, 459, 663, 891 i.e 3.

3. How can I use the GCD of 156, 459, 663, 891Calculator?

Out the numbers 156, 459, 663, 891 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.