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GCD of 380, 821, 998, 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 380, 821, 998, 563 quickly. Get the easiest ways to solve the greatest common divisor of 380, 821, 998, 563 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 380, 821, 998, 563 with Factoring?

Given Input numbers are 380, 821, 998, 563

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

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

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 (380, 821, 998, 563) = 1.

Find GCD of 380, 821, 998, 563 using Prime Factorization

Given numbers are 380, 821, 998, 563

The list of prime factors of all numbers are

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 821 are 821

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

Steps to Calculate GCD of 380, 821, 998, 563 using LCM Formula

Given numbers are 380, 821, 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(380, 821) = 311980

GCD(380, 821) = ( 380 x 821 ) / 311980

= 380 / 821

= 380


Step2:

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

= 1 / 998

= 1


Step3:

LCM(1, 563) = 563

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

= 1 / 563

= 1


So, Greatest Common Divisor of 380, 821, 998, 563 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 380, 821, 998, 563

Given numbers are 380, 821, 998, 563
The greatest common divisor of numbers 380, 821, 998, 563 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 821, 998, 563 is 1.

FAQs on GCD of 380, 821, 998, 563 Calculator

1. What is the GCD of 380, 821, 998, 563?

GCD of given numbers 380, 821, 998, 563 is 1


2. How to calculate the greatest common divisor of 380, 821, 998, 563?

We can find the highest common divisor of 380, 821, 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 380, 821, 998, 563 i.e 1.


3. How can I use the GCD of 380, 821, 998, 563Calculator?

Out the numbers 380, 821, 998, 563 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.