GCD of 998, 214, 13 Calculator

Given Input numbers are 998, 214, 13

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 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 13 :

The positive integer divisors of 13 that completely divides 13 are.

1, 13

GCD of numbers is the greatest common divisor

So, the GCD (998, 214, 13) = 1.

Given numbers are 998, 214, 13

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 214 are 2 x 107

Prime factors of 13 are 13

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

Given numbers are 998, 214, 13

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

Apply this formula for all numbers.

Step1:

LCM(998, 214) = 106786

GCD(998, 214) = ( 998 x 214 ) / 106786

= 998 / 214

= 998

Step2:

LCM(2, 13) = 26

GCD(2, 13) = ( 2 x 13 ) / 26

= 2 / 13

= 2

So, Greatest Common Divisor of 998, 214, 13 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 384, 564, 61
• GCD of 945, 135, 60
• GCD of 727, 788, 61
• GCD of 867, 342, 82
• GCD of 275, 652, 23

Given numbers are 998, 214, 13
The greatest common divisor of numbers 998, 214, 13 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 214, 13 is 1.

1. What is the GCD of 998, 214, 13?

GCD of given numbers 998, 214, 13 is 1

2. How to calculate the greatest common divisor of 998, 214, 13?

We can find the highest common divisor of 998, 214, 13 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, 214, 13 i.e 1.

3. How can I use the GCD of 998, 214, 13Calculator?

Out the numbers 998, 214, 13 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.