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GCD of 199, 360, 814, 563 Calculator

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


Online GCD Calculator is useful to find the GCD of 199, 360, 814, 563 quickly. Get the easiest ways to solve the greatest common divisor of 199, 360, 814, 563 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 199, 360, 814, 563 with Factoring?

Given Input numbers are 199, 360, 814, 563

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

Divisors of 199 :

The positive integer divisors of 199 that completely divides 199 are.

1, 199

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

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 (199, 360, 814, 563) = 1.

Find GCD of 199, 360, 814, 563 using Prime Factorization

Given numbers are 199, 360, 814, 563

The list of prime factors of all numbers are

Prime factors of 199 are 199

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 814 are 2 x 11 x 37

Prime factors of 563 are 563

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

Steps to Calculate GCD of 199, 360, 814, 563 using LCM Formula

Given numbers are 199, 360, 814, 563

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

Apply this formula for all numbers.

Step1:

LCM(199, 360) = 71640

GCD(199, 360) = ( 199 x 360 ) / 71640

= 199 / 360

= 199


Step2:

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

= 1 / 814

= 1


Step3:

LCM(1, 563) = 563

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

= 1 / 563

= 1


So, Greatest Common Divisor of 199, 360, 814, 563 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 199, 360, 814, 563

Given numbers are 199, 360, 814, 563
The greatest common divisor of numbers 199, 360, 814, 563 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 199, 360, 814, 563 is 1.

FAQs on GCD of 199, 360, 814, 563 Calculator

1. What is the GCD of 199, 360, 814, 563?

GCD of given numbers 199, 360, 814, 563 is 1


2. How to calculate the greatest common divisor of 199, 360, 814, 563?

We can find the highest common divisor of 199, 360, 814, 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 199, 360, 814, 563 i.e 1.


3. How can I use the GCD of 199, 360, 814, 563Calculator?

Out the numbers 199, 360, 814, 563 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.