GCD of 398, 664, 382, 409 Calculator

Given Input numbers are 398, 664, 382, 409

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

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 409 :

The positive integer divisors of 409 that completely divides 409 are.

1, 409

GCD of numbers is the greatest common divisor

So, the GCD (398, 664, 382, 409) = 1.

Given numbers are 398, 664, 382, 409

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 382 are 2 x 191

Prime factors of 409 are 409

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

Given numbers are 398, 664, 382, 409

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

Apply this formula for all numbers.

Step1:

LCM(398, 664) = 132136

GCD(398, 664) = ( 398 x 664 ) / 132136

= 398 / 664

= 398

Step2:

LCM(2, 382) = 382

GCD(2, 382) = ( 2 x 382 ) / 382

= 2 / 382

= 2

Step3:

LCM(2, 409) = 818

GCD(2, 409) = ( 2 x 409 ) / 818

= 2 / 409

= 2

So, Greatest Common Divisor of 398, 664, 382, 409 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 194, 462, 644, 285
• GCD of 769, 384, 609, 977
• GCD of 946, 619, 194, 269
• GCD of 910, 265, 460, 292
• GCD of 316, 884, 154, 649

Given numbers are 398, 664, 382, 409
The greatest common divisor of numbers 398, 664, 382, 409 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 664, 382, 409 is 1.

1. What is the GCD of 398, 664, 382, 409?

GCD of given numbers 398, 664, 382, 409 is 1

2. How to calculate the greatest common divisor of 398, 664, 382, 409?

We can find the highest common divisor of 398, 664, 382, 409 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 398, 664, 382, 409 i.e 1.

3. How can I use the GCD of 398, 664, 382, 409Calculator?

Out the numbers 398, 664, 382, 409 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.