GCD of 406, 129, 20, 198 Calculator

Given Input numbers are 406, 129, 20, 198

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

Divisors of 406 :

The positive integer divisors of 406 that completely divides 406 are.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 129 :

The positive integer divisors of 129 that completely divides 129 are.

1, 3, 43, 129

Divisors of 20 :

The positive integer divisors of 20 that completely divides 20 are.

1, 2, 4, 5, 10, 20

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

GCD of numbers is the greatest common divisor

So, the GCD (406, 129, 20, 198) = 1.

Given numbers are 406, 129, 20, 198

The list of prime factors of all numbers are

Prime factors of 406 are 2 x 7 x 29

Prime factors of 129 are 3 x 43

Prime factors of 20 are 2 x 2 x 5

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

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

Given numbers are 406, 129, 20, 198

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

Apply this formula for all numbers.

Step1:

LCM(406, 129) = 52374

GCD(406, 129) = ( 406 x 129 ) / 52374

= 406 / 129

= 406

Step2:

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

= 1 / 20

= 1

Step3:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1

So, Greatest Common Divisor of 406, 129, 20, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 292, 162, 28, 947
• GCD of 410, 389, 40, 390
• GCD of 774, 998, 77, 490
• GCD of 248, 276, 62, 722
• GCD of 500, 514, 69, 932

Given numbers are 406, 129, 20, 198
The greatest common divisor of numbers 406, 129, 20, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 406, 129, 20, 198 is 1.

1. What is the GCD of 406, 129, 20, 198?

GCD of given numbers 406, 129, 20, 198 is 1

2. How to calculate the greatest common divisor of 406, 129, 20, 198?

We can find the highest common divisor of 406, 129, 20, 198 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 406, 129, 20, 198 i.e 1.

3. How can I use the GCD of 406, 129, 20, 198Calculator?

Out the numbers 406, 129, 20, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.