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GCD of 563, 600, 189, 162 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 563, 600, 189, 162 quickly. Get the easiest ways to solve the greatest common divisor of 563, 600, 189, 162 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 563, 600, 189, 162 with Factoring?

Given Input numbers are 563, 600, 189, 162

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

Divisors of 563 :

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

1, 563

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 189 :

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

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

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162


GCD of numbers is the greatest common divisor

So, the GCD (563, 600, 189, 162) = 1.

Find GCD of 563, 600, 189, 162 using Prime Factorization

Given numbers are 563, 600, 189, 162

The list of prime factors of all numbers are

Prime factors of 563 are 563

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

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

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

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

Steps to Calculate GCD of 563, 600, 189, 162 using LCM Formula

Given numbers are 563, 600, 189, 162

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

Apply this formula for all numbers.

Step1:

LCM(563, 600) = 337800

GCD(563, 600) = ( 563 x 600 ) / 337800

= 563 / 600

= 563


Step2:

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

= 1 / 189

= 1


Step3:

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

= 1 / 162

= 1


So, Greatest Common Divisor of 563, 600, 189, 162 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 563, 600, 189, 162

Given numbers are 563, 600, 189, 162
The greatest common divisor of numbers 563, 600, 189, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 563, 600, 189, 162 is 1.

FAQs on GCD of 563, 600, 189, 162 Calculator

1. What is the GCD of 563, 600, 189, 162?

GCD of given numbers 563, 600, 189, 162 is 1


2. How to calculate the greatest common divisor of 563, 600, 189, 162?

We can find the highest common divisor of 563, 600, 189, 162 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 563, 600, 189, 162 i.e 1.


3. How can I use the GCD of 563, 600, 189, 162Calculator?

Out the numbers 563, 600, 189, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.