GCD of 396, 720, 345, 831 Calculator

Given Input numbers are 396, 720, 345, 831

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 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

GCD of numbers is the greatest common divisor

So, the GCD (396, 720, 345, 831) = 3.

Given numbers are 396, 720, 345, 831

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 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 345 are 3 x 5 x 23

Prime factors of 831 are 3 x 277

The highest common occurrence is 3¹

Therefore, GCD of 396, 720, 345, 831 is 3.

Given numbers are 396, 720, 345, 831

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

Apply this formula for all numbers.

Step1:

LCM(396, 720) = 7920

GCD(396, 720) = ( 396 x 720 ) / 7920

= 396 / 720

= 396

Step2:

LCM(36, 345) = 4140

GCD(36, 345) = ( 36 x 345 ) / 4140

= 36 / 345

= 36

Step3:

LCM(3, 831) = 831

GCD(3, 831) = ( 3 x 831 ) / 831

= 3 / 831

= 3

So, Greatest Common Divisor of 396, 720, 345, 831 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 651, 952, 660, 815
• GCD of 862, 603, 966, 672
• GCD of 635, 867, 647, 329
• GCD of 681, 875, 979, 611
• GCD of 794, 339, 656, 511

Given numbers are 396, 720, 345, 831
The greatest common divisor of numbers 396, 720, 345, 831 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 720, 345, 831 is 3.

1. What is the GCD of 396, 720, 345, 831?

GCD of given numbers 396, 720, 345, 831 is 3

2. How to calculate the greatest common divisor of 396, 720, 345, 831?

We can find the highest common divisor of 396, 720, 345, 831 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, 720, 345, 831 i.e 3.

3. How can I use the GCD of 396, 720, 345, 831Calculator?

Out the numbers 396, 720, 345, 831 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.