GCD of 696, 406, 108, 330 Calculator

Given Input numbers are 696, 406, 108, 330

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

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 406 :

The positive integer divisors of 406 that completely divides 406 are.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

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

GCD of numbers is the greatest common divisor

So, the GCD (696, 406, 108, 330) = 2.

Given numbers are 696, 406, 108, 330

The list of prime factors of all numbers are

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 406 are 2 x 7 x 29

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

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

The highest common occurrence is 2¹

Therefore, GCD of 696, 406, 108, 330 is 2.

Given numbers are 696, 406, 108, 330

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

Apply this formula for all numbers.

Step1:

LCM(696, 406) = 4872

GCD(696, 406) = ( 696 x 406 ) / 4872

= 696 / 406

= 696

Step2:

LCM(58, 108) = 3132

GCD(58, 108) = ( 58 x 108 ) / 3132

= 58 / 108

= 58

Step3:

LCM(2, 330) = 330

GCD(2, 330) = ( 2 x 330 ) / 330

= 2 / 330

= 2

So, Greatest Common Divisor of 696, 406, 108, 330 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 327, 930, 482, 265
• GCD of 449, 849, 804, 576
• GCD of 330, 892, 966, 576
• GCD of 518, 375, 793, 382
• GCD of 643, 950, 550, 525

Given numbers are 696, 406, 108, 330
The greatest common divisor of numbers 696, 406, 108, 330 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 406, 108, 330 is 2.

1. What is the GCD of 696, 406, 108, 330?

GCD of given numbers 696, 406, 108, 330 is 2

2. How to calculate the greatest common divisor of 696, 406, 108, 330?

We can find the highest common divisor of 696, 406, 108, 330 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 696, 406, 108, 330 i.e 2.

3. How can I use the GCD of 696, 406, 108, 330Calculator?

Out the numbers 696, 406, 108, 330 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.