GCD of 998, 311, 428, 399 Calculator

Given Input numbers are 998, 311, 428, 399

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

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

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 (998, 311, 428, 399) = 1.

Given numbers are 998, 311, 428, 399

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 311 are 311

Prime factors of 428 are 2 x 2 x 107

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 998, 311, 428, 399

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

Apply this formula for all numbers.

Step1:

LCM(998, 311) = 310378

GCD(998, 311) = ( 998 x 311 ) / 310378

= 998 / 311

= 998

Step2:

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

= 1 / 428

= 1

Step3:

LCM(1, 399) = 399

GCD(1, 399) = ( 1 x 399 ) / 399

= 1 / 399

= 1

So, Greatest Common Divisor of 998, 311, 428, 399 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 322, 711, 854, 917
• GCD of 556, 370, 734, 680
• GCD of 956, 284, 490, 800
• GCD of 179, 751, 397, 494
• GCD of 455, 322, 449, 766

Given numbers are 998, 311, 428, 399
The greatest common divisor of numbers 998, 311, 428, 399 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 311, 428, 399 is 1.

1. What is the GCD of 998, 311, 428, 399?

GCD of given numbers 998, 311, 428, 399 is 1

2. How to calculate the greatest common divisor of 998, 311, 428, 399?

We can find the highest common divisor of 998, 311, 428, 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 998, 311, 428, 399 i.e 1.

3. How can I use the GCD of 998, 311, 428, 399Calculator?

Out the numbers 998, 311, 428, 399 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.