GCD of 297, 330, 693 Calculator

Given Input numbers are 297, 330, 693

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

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

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

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 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

GCD of numbers is the greatest common divisor

So, the GCD (297, 330, 693) = 33.

Given numbers are 297, 330, 693

The list of prime factors of all numbers are

Prime factors of 297 are 3 x 3 x 3 x 11

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

Prime factors of 693 are 3 x 3 x 7 x 11

The highest common occurrence is 11¹ x 3¹

Therefore, GCD of 297, 330, 693 is 33.

Given numbers are 297, 330, 693

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

Apply this formula for all numbers.

Step1:

LCM(297, 330) = 2970

GCD(297, 330) = ( 297 x 330 ) / 2970

= 297 / 330

= 297

Step2:

LCM(33, 693) = 693

GCD(33, 693) = ( 33 x 693 ) / 693

= 33 / 693

= 33

So, Greatest Common Divisor of 297, 330, 693 is 33

Here are some samples of GCD of Numbers calculations.

• GCD of 499, 458, 780
• GCD of 685, 987, 271
• GCD of 566, 389, 233
• GCD of 293, 744, 743
• GCD of 913, 274, 487

Given numbers are 297, 330, 693
The greatest common divisor of numbers 297, 330, 693 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 297, 330, 693 is 33.

1. What is the GCD of 297, 330, 693?

GCD of given numbers 297, 330, 693 is 33

2. How to calculate the greatest common divisor of 297, 330, 693?

We can find the highest common divisor of 297, 330, 693 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 297, 330, 693 i.e 33.

3. How can I use the GCD of 297, 330, 693Calculator?

Out the numbers 297, 330, 693 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.