GCD of 111, 165, 396, 998 Calculator

Given Input numbers are 111, 165, 396, 998

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

Divisors of 111 :

The positive integer divisors of 111 that completely divides 111 are.

1, 3, 37, 111

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

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 998 :

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

1, 2, 499, 998

GCD of numbers is the greatest common divisor

So, the GCD (111, 165, 396, 998) = 1.

Given numbers are 111, 165, 396, 998

The list of prime factors of all numbers are

Prime factors of 111 are 3 x 37

Prime factors of 165 are 3 x 5 x 11

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

Prime factors of 998 are 2 x 499

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

Given numbers are 111, 165, 396, 998

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

Apply this formula for all numbers.

Step1:

LCM(111, 165) = 6105

GCD(111, 165) = ( 111 x 165 ) / 6105

= 111 / 165

= 111

Step2:

LCM(3, 396) = 396

GCD(3, 396) = ( 3 x 396 ) / 396

= 3 / 396

= 3

Step3:

LCM(3, 998) = 2994

GCD(3, 998) = ( 3 x 998 ) / 2994

= 3 / 998

= 3

So, Greatest Common Divisor of 111, 165, 396, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 316, 259, 699, 498
• GCD of 857, 837, 743, 279
• GCD of 913, 189, 169, 873
• GCD of 337, 321, 933, 150
• GCD of 215, 200, 357, 396

Given numbers are 111, 165, 396, 998
The greatest common divisor of numbers 111, 165, 396, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 111, 165, 396, 998 is 1.

1. What is the GCD of 111, 165, 396, 998?

GCD of given numbers 111, 165, 396, 998 is 1

2. How to calculate the greatest common divisor of 111, 165, 396, 998?

We can find the highest common divisor of 111, 165, 396, 998 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 111, 165, 396, 998 i.e 1.

3. How can I use the GCD of 111, 165, 396, 998Calculator?

Out the numbers 111, 165, 396, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.