GCD of 349, 589, 198 Calculator

Given Input numbers are 349, 589, 198

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

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

Divisors of 589 :

The positive integer divisors of 589 that completely divides 589 are.

1, 19, 31, 589

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 (349, 589, 198) = 1.

Given numbers are 349, 589, 198

The list of prime factors of all numbers are

Prime factors of 349 are 349

Prime factors of 589 are 19 x 31

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 349, 589, 198

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

Apply this formula for all numbers.

Step1:

LCM(349, 589) = 205561

GCD(349, 589) = ( 349 x 589 ) / 205561

= 349 / 589

= 349

Step2:

LCM(1, 198) = 198

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

= 1 / 198

= 1

So, Greatest Common Divisor of 349, 589, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 154, 598, 467
• GCD of 748, 120, 481
• GCD of 782, 702, 946
• GCD of 812, 881, 526
• GCD of 137, 118, 650

Given numbers are 349, 589, 198
The greatest common divisor of numbers 349, 589, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 349, 589, 198 is 1.

1. What is the GCD of 349, 589, 198?

GCD of given numbers 349, 589, 198 is 1

2. How to calculate the greatest common divisor of 349, 589, 198?

We can find the highest common divisor of 349, 589, 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 349, 589, 198 i.e 1.

3. How can I use the GCD of 349, 589, 198Calculator?

Out the numbers 349, 589, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.