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GCD of 563, 378, 923, 998 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, 378, 923, 998 quickly. Get the easiest ways to solve the greatest common divisor of 563, 378, 923, 998 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 563, 378, 923, 998 with Factoring?

Given Input numbers are 563, 378, 923, 998

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 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 923 :

The positive integer divisors of 923 that completely divides 923 are.

1, 13, 71, 923

Divisors of 998 :

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

1, 2, 499, 998


GCD of numbers is the greatest common divisor

So, the GCD (563, 378, 923, 998) = 1.

Find GCD of 563, 378, 923, 998 using Prime Factorization

Given numbers are 563, 378, 923, 998

The list of prime factors of all numbers are

Prime factors of 563 are 563

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 923 are 13 x 71

Prime factors of 998 are 2 x 499

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

Steps to Calculate GCD of 563, 378, 923, 998 using LCM Formula

Given numbers are 563, 378, 923, 998

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

Apply this formula for all numbers.

Step1:

LCM(563, 378) = 212814

GCD(563, 378) = ( 563 x 378 ) / 212814

= 563 / 378

= 563


Step2:

LCM(1, 923) = 923

GCD(1, 923) = ( 1 x 923 ) / 923

= 1 / 923

= 1


Step3:

LCM(1, 998) = 998

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

= 1 / 998

= 1


So, Greatest Common Divisor of 563, 378, 923, 998 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 563, 378, 923, 998

Given numbers are 563, 378, 923, 998
The greatest common divisor of numbers 563, 378, 923, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 563, 378, 923, 998 is 1.

FAQs on GCD of 563, 378, 923, 998 Calculator

1. What is the GCD of 563, 378, 923, 998?

GCD of given numbers 563, 378, 923, 998 is 1


2. How to calculate the greatest common divisor of 563, 378, 923, 998?

We can find the highest common divisor of 563, 378, 923, 998 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, 378, 923, 998 i.e 1.


3. How can I use the GCD of 563, 378, 923, 998Calculator?

Out the numbers 563, 378, 923, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.