GCD of 330, 945, 699, 921 Calculator

Given Input numbers are 330, 945, 699, 921

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 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 921 :

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

1, 3, 307, 921

GCD of numbers is the greatest common divisor

So, the GCD (330, 945, 699, 921) = 3.

Given numbers are 330, 945, 699, 921

The list of prime factors of all numbers are

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

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 699 are 3 x 233

Prime factors of 921 are 3 x 307

The highest common occurrence is 3¹

Therefore, GCD of 330, 945, 699, 921 is 3.

Given numbers are 330, 945, 699, 921

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

Apply this formula for all numbers.

Step1:

LCM(330, 945) = 20790

GCD(330, 945) = ( 330 x 945 ) / 20790

= 330 / 945

= 330

Step2:

LCM(15, 699) = 3495

GCD(15, 699) = ( 15 x 699 ) / 3495

= 15 / 699

= 15

Step3:

LCM(3, 921) = 921

GCD(3, 921) = ( 3 x 921 ) / 921

= 3 / 921

= 3

So, Greatest Common Divisor of 330, 945, 699, 921 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 729, 611, 355, 856
• GCD of 436, 117, 193, 865
• GCD of 539, 116, 512, 700
• GCD of 431, 952, 684, 158
• GCD of 143, 369, 663, 754

Given numbers are 330, 945, 699, 921
The greatest common divisor of numbers 330, 945, 699, 921 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 330, 945, 699, 921 is 3.

1. What is the GCD of 330, 945, 699, 921?

GCD of given numbers 330, 945, 699, 921 is 3

2. How to calculate the greatest common divisor of 330, 945, 699, 921?

We can find the highest common divisor of 330, 945, 699, 921 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, 945, 699, 921 i.e 3.

3. How can I use the GCD of 330, 945, 699, 921Calculator?

Out the numbers 330, 945, 699, 921 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.