GCD of 788, 522, 100, 330 Calculator

Given Input numbers are 788, 522, 100, 330

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

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

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 (788, 522, 100, 330) = 2.

Given numbers are 788, 522, 100, 330

The list of prime factors of all numbers are

Prime factors of 788 are 2 x 2 x 197

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 100 are 2 x 2 x 5 x 5

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

The highest common occurrence is 2¹

Therefore, GCD of 788, 522, 100, 330 is 2.

Given numbers are 788, 522, 100, 330

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

Apply this formula for all numbers.

Step1:

LCM(788, 522) = 205668

GCD(788, 522) = ( 788 x 522 ) / 205668

= 788 / 522

= 788

Step2:

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

= 2 / 100

= 2

Step3:

LCM(2, 330) = 330

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

= 2 / 330

= 2

So, Greatest Common Divisor of 788, 522, 100, 330 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 490, 690, 216, 521
• GCD of 217, 669, 782, 232
• GCD of 659, 545, 188, 217
• GCD of 415, 894, 505, 939
• GCD of 372, 788, 106, 785

Given numbers are 788, 522, 100, 330
The greatest common divisor of numbers 788, 522, 100, 330 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 788, 522, 100, 330 is 2.

1. What is the GCD of 788, 522, 100, 330?

GCD of given numbers 788, 522, 100, 330 is 2

2. How to calculate the greatest common divisor of 788, 522, 100, 330?

We can find the highest common divisor of 788, 522, 100, 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 788, 522, 100, 330 i.e 2.

3. How can I use the GCD of 788, 522, 100, 330Calculator?

Out the numbers 788, 522, 100, 330 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.