GCD of 330, 921, 738, 906 Calculator

Given Input numbers are 330, 921, 738, 906

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

Divisors of 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 921 :

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

1, 3, 307, 921

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906

GCD of numbers is the greatest common divisor

So, the GCD (330, 921, 738, 906) = 3.

Given numbers are 330, 921, 738, 906

The list of prime factors of all numbers are

Prime factors of 330 are 2 x 3 x 5 x 11

Prime factors of 921 are 3 x 307

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 906 are 2 x 3 x 151

The highest common occurrence is 3¹

Therefore, GCD of 330, 921, 738, 906 is 3.

Given numbers are 330, 921, 738, 906

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

Apply this formula for all numbers.

Step1:

LCM(330, 921) = 101310

GCD(330, 921) = ( 330 x 921 ) / 101310

= 330 / 921

= 330

Step2:

LCM(3, 738) = 738

GCD(3, 738) = ( 3 x 738 ) / 738

= 3 / 738

= 3

Step3:

LCM(3, 906) = 906

GCD(3, 906) = ( 3 x 906 ) / 906

= 3 / 906

= 3

So, Greatest Common Divisor of 330, 921, 738, 906 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 359, 195, 986, 555
• GCD of 511, 991, 326, 679
• GCD of 212, 386, 519, 627
• GCD of 378, 749, 843, 431
• GCD of 271, 740, 759, 871

Given numbers are 330, 921, 738, 906
The greatest common divisor of numbers 330, 921, 738, 906 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 330, 921, 738, 906 is 3.

1. What is the GCD of 330, 921, 738, 906?

GCD of given numbers 330, 921, 738, 906 is 3

2. How to calculate the greatest common divisor of 330, 921, 738, 906?

We can find the highest common divisor of 330, 921, 738, 906 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 330, 921, 738, 906 i.e 3.

3. How can I use the GCD of 330, 921, 738, 906Calculator?

Out the numbers 330, 921, 738, 906 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.