GCD of 189, 501, 998, 563 Calculator

Given Input numbers are 189, 501, 998, 563

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

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 501 :

The positive integer divisors of 501 that completely divides 501 are.

1, 3, 167, 501

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 563 :

The positive integer divisors of 563 that completely divides 563 are.

1, 563

GCD of numbers is the greatest common divisor

So, the GCD (189, 501, 998, 563) = 1.

Given numbers are 189, 501, 998, 563

The list of prime factors of all numbers are

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 501 are 3 x 167

Prime factors of 998 are 2 x 499

Prime factors of 563 are 563

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

Given numbers are 189, 501, 998, 563

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

Apply this formula for all numbers.

Step1:

LCM(189, 501) = 31563

GCD(189, 501) = ( 189 x 501 ) / 31563

= 189 / 501

= 189

Step2:

LCM(3, 998) = 2994

GCD(3, 998) = ( 3 x 998 ) / 2994

= 3 / 998

= 3

Step3:

LCM(1, 563) = 563

GCD(1, 563) = ( 1 x 563 ) / 563

= 1 / 563

= 1

So, Greatest Common Divisor of 189, 501, 998, 563 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 185, 181, 613, 578
• GCD of 820, 142, 370, 443
• GCD of 690, 825, 159, 229
• GCD of 601, 316, 199, 585
• GCD of 430, 421, 339, 858

Given numbers are 189, 501, 998, 563
The greatest common divisor of numbers 189, 501, 998, 563 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 501, 998, 563 is 1.

1. What is the GCD of 189, 501, 998, 563?

GCD of given numbers 189, 501, 998, 563 is 1

2. How to calculate the greatest common divisor of 189, 501, 998, 563?

We can find the highest common divisor of 189, 501, 998, 563 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 189, 501, 998, 563 i.e 1.

3. How can I use the GCD of 189, 501, 998, 563Calculator?

Out the numbers 189, 501, 998, 563 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.