GCD of 396, 714, 820, 399 Calculator

Given Input numbers are 396, 714, 820, 399

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 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

GCD of numbers is the greatest common divisor

So, the GCD (396, 714, 820, 399) = 1.

Given numbers are 396, 714, 820, 399

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 714 are 2 x 3 x 7 x 17

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 399 are 3 x 7 x 19

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 396, 714, 820, 399

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

Apply this formula for all numbers.

Step1:

LCM(396, 714) = 47124

GCD(396, 714) = ( 396 x 714 ) / 47124

= 396 / 714

= 396

Step2:

LCM(6, 820) = 2460

GCD(6, 820) = ( 6 x 820 ) / 2460

= 6 / 820

= 6

Step3:

LCM(2, 399) = 798

GCD(2, 399) = ( 2 x 399 ) / 798

= 2 / 399

= 2

So, Greatest Common Divisor of 396, 714, 820, 399 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 354, 685, 600, 213
• GCD of 229, 877, 732, 566
• GCD of 137, 859, 214, 445
• GCD of 841, 213, 946, 722
• GCD of 598, 376, 173, 575

Given numbers are 396, 714, 820, 399
The greatest common divisor of numbers 396, 714, 820, 399 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 714, 820, 399 is 1.

1. What is the GCD of 396, 714, 820, 399?

GCD of given numbers 396, 714, 820, 399 is 1

2. How to calculate the greatest common divisor of 396, 714, 820, 399?

We can find the highest common divisor of 396, 714, 820, 399 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, 714, 820, 399 i.e 1.

3. How can I use the GCD of 396, 714, 820, 399Calculator?

Out the numbers 396, 714, 820, 399 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.