GCD of 306, 963, 921, 234 Calculator

Given Input numbers are 306, 963, 921, 234

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

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 963 :

The positive integer divisors of 963 that completely divides 963 are.

1, 3, 9, 107, 321, 963

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

GCD of numbers is the greatest common divisor

So, the GCD (306, 963, 921, 234) = 3.

Given numbers are 306, 963, 921, 234

The list of prime factors of all numbers are

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 963 are 3 x 3 x 107

Prime factors of 921 are 3 x 307

Prime factors of 234 are 2 x 3 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 306, 963, 921, 234 is 3.

Given numbers are 306, 963, 921, 234

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

Apply this formula for all numbers.

Step1:

LCM(306, 963) = 32742

GCD(306, 963) = ( 306 x 963 ) / 32742

= 306 / 963

= 306

Step2:

LCM(9, 921) = 2763

GCD(9, 921) = ( 9 x 921 ) / 2763

= 9 / 921

= 9

Step3:

LCM(3, 234) = 234

GCD(3, 234) = ( 3 x 234 ) / 234

= 3 / 234

= 3

So, Greatest Common Divisor of 306, 963, 921, 234 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 916, 709, 177, 966
• GCD of 574, 932, 389, 961
• GCD of 678, 422, 881, 254
• GCD of 936, 827, 254, 483
• GCD of 639, 483, 958, 874

Given numbers are 306, 963, 921, 234
The greatest common divisor of numbers 306, 963, 921, 234 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 306, 963, 921, 234 is 3.

1. What is the GCD of 306, 963, 921, 234?

GCD of given numbers 306, 963, 921, 234 is 3

2. How to calculate the greatest common divisor of 306, 963, 921, 234?

We can find the highest common divisor of 306, 963, 921, 234 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 306, 963, 921, 234 i.e 3.

3. How can I use the GCD of 306, 963, 921, 234Calculator?

Out the numbers 306, 963, 921, 234 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.