GCD of 198, 504, 572, 171 Calculator

Given Input numbers are 198, 504, 572, 171

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 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

GCD of numbers is the greatest common divisor

So, the GCD (198, 504, 572, 171) = 1.

Given numbers are 198, 504, 572, 171

The list of prime factors of all numbers are

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

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 572 are 2 x 2 x 11 x 13

Prime factors of 171 are 3 x 3 x 19

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

Given numbers are 198, 504, 572, 171

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

Apply this formula for all numbers.

Step1:

LCM(198, 504) = 5544

GCD(198, 504) = ( 198 x 504 ) / 5544

= 198 / 504

= 198

Step2:

LCM(18, 572) = 5148

GCD(18, 572) = ( 18 x 572 ) / 5148

= 18 / 572

= 18

Step3:

LCM(2, 171) = 342

GCD(2, 171) = ( 2 x 171 ) / 342

= 2 / 171

= 2

So, Greatest Common Divisor of 198, 504, 572, 171 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 995, 973, 353, 152
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Given numbers are 198, 504, 572, 171
The greatest common divisor of numbers 198, 504, 572, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 504, 572, 171 is 1.

1. What is the GCD of 198, 504, 572, 171?

GCD of given numbers 198, 504, 572, 171 is 1

2. How to calculate the greatest common divisor of 198, 504, 572, 171?

We can find the highest common divisor of 198, 504, 572, 171 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, 504, 572, 171 i.e 1.

3. How can I use the GCD of 198, 504, 572, 171Calculator?

Out the numbers 198, 504, 572, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.