GCD of 198, 849, 355, 344 Calculator

Given Input numbers are 198, 849, 355, 344

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 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

GCD of numbers is the greatest common divisor

So, the GCD (198, 849, 355, 344) = 1.

Given numbers are 198, 849, 355, 344

The list of prime factors of all numbers are

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

Prime factors of 849 are 3 x 283

Prime factors of 355 are 5 x 71

Prime factors of 344 are 2 x 2 x 2 x 43

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

Given numbers are 198, 849, 355, 344

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

Apply this formula for all numbers.

Step1:

LCM(198, 849) = 56034

GCD(198, 849) = ( 198 x 849 ) / 56034

= 198 / 849

= 198

Step2:

LCM(3, 355) = 1065

GCD(3, 355) = ( 3 x 355 ) / 1065

= 3 / 355

= 3

Step3:

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

= 1 / 344

= 1

So, Greatest Common Divisor of 198, 849, 355, 344 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 441, 616, 918, 766
• GCD of 533, 141, 120, 281
• GCD of 891, 311, 726, 822
• GCD of 686, 625, 864, 606
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Given numbers are 198, 849, 355, 344
The greatest common divisor of numbers 198, 849, 355, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 849, 355, 344 is 1.

1. What is the GCD of 198, 849, 355, 344?

GCD of given numbers 198, 849, 355, 344 is 1

2. How to calculate the greatest common divisor of 198, 849, 355, 344?

We can find the highest common divisor of 198, 849, 355, 344 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, 849, 355, 344 i.e 1.

3. How can I use the GCD of 198, 849, 355, 344Calculator?

Out the numbers 198, 849, 355, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.