GCD of 396, 422, 780, 232 Calculator

Given Input numbers are 396, 422, 780, 232

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

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

GCD of numbers is the greatest common divisor

So, the GCD (396, 422, 780, 232) = 2.

Given numbers are 396, 422, 780, 232

The list of prime factors of all numbers are

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 422 are 2 x 211

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 232 are 2 x 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 396, 422, 780, 232 is 2.

Given numbers are 396, 422, 780, 232

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

Apply this formula for all numbers.

Step1:

LCM(396, 422) = 83556

GCD(396, 422) = ( 396 x 422 ) / 83556

= 396 / 422

= 396

Step2:

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

= 2 / 780

= 2

Step3:

LCM(2, 232) = 232

GCD(2, 232) = ( 2 x 232 ) / 232

= 2 / 232

= 2

So, Greatest Common Divisor of 396, 422, 780, 232 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 446, 882, 179, 787
• GCD of 563, 590, 702, 910
• GCD of 843, 838, 542, 648
• GCD of 521, 821, 343, 482
• GCD of 839, 978, 489, 924

Given numbers are 396, 422, 780, 232
The greatest common divisor of numbers 396, 422, 780, 232 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 422, 780, 232 is 2.

1. What is the GCD of 396, 422, 780, 232?

GCD of given numbers 396, 422, 780, 232 is 2

2. How to calculate the greatest common divisor of 396, 422, 780, 232?

We can find the highest common divisor of 396, 422, 780, 232 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 396, 422, 780, 232 i.e 2.

3. How can I use the GCD of 396, 422, 780, 232Calculator?

Out the numbers 396, 422, 780, 232 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.