GCD of 909, 808, 931, 198 Calculator

Given Input numbers are 909, 808, 931, 198

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

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 808 :

The positive integer divisors of 808 that completely divides 808 are.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 931 :

The positive integer divisors of 931 that completely divides 931 are.

1, 7, 19, 49, 133, 931

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 (909, 808, 931, 198) = 1.

Given numbers are 909, 808, 931, 198

The list of prime factors of all numbers are

Prime factors of 909 are 3 x 3 x 101

Prime factors of 808 are 2 x 2 x 2 x 101

Prime factors of 931 are 7 x 7 x 19

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 909, 808, 931, 198

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

Apply this formula for all numbers.

Step1:

LCM(909, 808) = 7272

GCD(909, 808) = ( 909 x 808 ) / 7272

= 909 / 808

= 909

Step2:

LCM(101, 931) = 94031

GCD(101, 931) = ( 101 x 931 ) / 94031

= 101 / 931

= 101

Step3:

LCM(1, 198) = 198

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

= 1 / 198

= 1

So, Greatest Common Divisor of 909, 808, 931, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 966, 110, 233, 118
• GCD of 433, 390, 866, 718
• GCD of 373, 683, 316, 909
• GCD of 907, 712, 573, 831
• GCD of 222, 833, 847, 649

Given numbers are 909, 808, 931, 198
The greatest common divisor of numbers 909, 808, 931, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 909, 808, 931, 198 is 1.

1. What is the GCD of 909, 808, 931, 198?

GCD of given numbers 909, 808, 931, 198 is 1

2. How to calculate the greatest common divisor of 909, 808, 931, 198?

We can find the highest common divisor of 909, 808, 931, 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 909, 808, 931, 198 i.e 1.

3. How can I use the GCD of 909, 808, 931, 198Calculator?

Out the numbers 909, 808, 931, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.