GCD of 156, 321, 303, 561 Calculator

Given Input numbers are 156, 321, 303, 561

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 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

GCD of numbers is the greatest common divisor

So, the GCD (156, 321, 303, 561) = 3.

Given numbers are 156, 321, 303, 561

The list of prime factors of all numbers are

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

Prime factors of 321 are 3 x 107

Prime factors of 303 are 3 x 101

Prime factors of 561 are 3 x 11 x 17

The highest common occurrence is 3¹

Therefore, GCD of 156, 321, 303, 561 is 3.

Given numbers are 156, 321, 303, 561

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

Apply this formula for all numbers.

Step1:

LCM(156, 321) = 16692

GCD(156, 321) = ( 156 x 321 ) / 16692

= 156 / 321

= 156

Step2:

LCM(3, 303) = 303

GCD(3, 303) = ( 3 x 303 ) / 303

= 3 / 303

= 3

Step3:

LCM(3, 561) = 561

GCD(3, 561) = ( 3 x 561 ) / 561

= 3 / 561

= 3

So, Greatest Common Divisor of 156, 321, 303, 561 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 219, 855, 779, 372
• GCD of 252, 543, 595, 975
• GCD of 240, 539, 970, 691
• GCD of 440, 655, 518, 854
• GCD of 964, 219, 324, 472

Given numbers are 156, 321, 303, 561
The greatest common divisor of numbers 156, 321, 303, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 156, 321, 303, 561 is 3.

1. What is the GCD of 156, 321, 303, 561?

GCD of given numbers 156, 321, 303, 561 is 3

2. How to calculate the greatest common divisor of 156, 321, 303, 561?

We can find the highest common divisor of 156, 321, 303, 561 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, 321, 303, 561 i.e 3.

3. How can I use the GCD of 156, 321, 303, 561Calculator?

Out the numbers 156, 321, 303, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.