GCD of 198, 440, 469, 289 Calculator

Given Input numbers are 198, 440, 469, 289

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 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 469 :

The positive integer divisors of 469 that completely divides 469 are.

1, 7, 67, 469

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

GCD of numbers is the greatest common divisor

So, the GCD (198, 440, 469, 289) = 1.

Given numbers are 198, 440, 469, 289

The list of prime factors of all numbers are

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

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 469 are 7 x 67

Prime factors of 289 are 17 x 17

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

Given numbers are 198, 440, 469, 289

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

Apply this formula for all numbers.

Step1:

LCM(198, 440) = 3960

GCD(198, 440) = ( 198 x 440 ) / 3960

= 198 / 440

= 198

Step2:

LCM(22, 469) = 10318

GCD(22, 469) = ( 22 x 469 ) / 10318

= 22 / 469

= 22

Step3:

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

= 1 / 289

= 1

So, Greatest Common Divisor of 198, 440, 469, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 771, 417, 551, 405
• GCD of 425, 477, 813, 873
• GCD of 528, 370, 419, 175
• GCD of 902, 262, 837, 637
• GCD of 679, 879, 347, 512

Given numbers are 198, 440, 469, 289
The greatest common divisor of numbers 198, 440, 469, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 440, 469, 289 is 1.

1. What is the GCD of 198, 440, 469, 289?

GCD of given numbers 198, 440, 469, 289 is 1

2. How to calculate the greatest common divisor of 198, 440, 469, 289?

We can find the highest common divisor of 198, 440, 469, 289 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, 440, 469, 289 i.e 1.

3. How can I use the GCD of 198, 440, 469, 289Calculator?

Out the numbers 198, 440, 469, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.