GCD of 198, 161, 36, 400 Calculator

Given Input numbers are 198, 161, 36, 400

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

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 161 :

The positive integer divisors of 161 that completely divides 161 are.

1, 7, 23, 161

Divisors of 36 :

The positive integer divisors of 36 that completely divides 36 are.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD of numbers is the greatest common divisor

So, the GCD (198, 161, 36, 400) = 1.

Given numbers are 198, 161, 36, 400

The list of prime factors of all numbers are

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 161 are 7 x 23

Prime factors of 36 are 2 x 2 x 3 x 3

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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

Given numbers are 198, 161, 36, 400

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

Apply this formula for all numbers.

Step1:

LCM(198, 161) = 31878

GCD(198, 161) = ( 198 x 161 ) / 31878

= 198 / 161

= 198

Step2:

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

= 1 / 36

= 1

Step3:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

So, Greatest Common Divisor of 198, 161, 36, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 759, 195, 16, 700
• GCD of 709, 927, 93, 185
• GCD of 723, 342, 18, 658
• GCD of 248, 121, 24, 170
• GCD of 428, 240, 63, 335

Given numbers are 198, 161, 36, 400
The greatest common divisor of numbers 198, 161, 36, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 161, 36, 400 is 1.

1. What is the GCD of 198, 161, 36, 400?

GCD of given numbers 198, 161, 36, 400 is 1

2. How to calculate the greatest common divisor of 198, 161, 36, 400?

We can find the highest common divisor of 198, 161, 36, 400 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 198, 161, 36, 400 i.e 1.

3. How can I use the GCD of 198, 161, 36, 400Calculator?

Out the numbers 198, 161, 36, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.