GCD of 684, 419, 72, 396 Calculator

Given Input numbers are 684, 419, 72, 396

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

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 419 :

The positive integer divisors of 419 that completely divides 419 are.

1, 419

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

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

GCD of numbers is the greatest common divisor

So, the GCD (684, 419, 72, 396) = 1.

Given numbers are 684, 419, 72, 396

The list of prime factors of all numbers are

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 419 are 419

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

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

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

Given numbers are 684, 419, 72, 396

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

Apply this formula for all numbers.

Step1:

LCM(684, 419) = 286596

GCD(684, 419) = ( 684 x 419 ) / 286596

= 684 / 419

= 684

Step2:

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

= 1 / 72

= 1

Step3:

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

= 1 / 396

= 1

So, Greatest Common Divisor of 684, 419, 72, 396 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 112, 654, 56, 417
• GCD of 387, 406, 96, 479
• GCD of 533, 797, 11, 464
• GCD of 635, 947, 84, 951
• GCD of 334, 880, 43, 416

Given numbers are 684, 419, 72, 396
The greatest common divisor of numbers 684, 419, 72, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 419, 72, 396 is 1.

1. What is the GCD of 684, 419, 72, 396?

GCD of given numbers 684, 419, 72, 396 is 1

2. How to calculate the greatest common divisor of 684, 419, 72, 396?

We can find the highest common divisor of 684, 419, 72, 396 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 684, 419, 72, 396 i.e 1.

3. How can I use the GCD of 684, 419, 72, 396Calculator?

Out the numbers 684, 419, 72, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.