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GCD of 493, 231, 998, 531 Calculator

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


Online GCD Calculator is useful to find the GCD of 493, 231, 998, 531 quickly. Get the easiest ways to solve the greatest common divisor of 493, 231, 998, 531 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 493, 231, 998, 531 with Factoring?

Given Input numbers are 493, 231, 998, 531

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

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 998 :

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

1, 2, 499, 998

Divisors of 531 :

The positive integer divisors of 531 that completely divides 531 are.

1, 3, 9, 59, 177, 531


GCD of numbers is the greatest common divisor

So, the GCD (493, 231, 998, 531) = 1.

Find GCD of 493, 231, 998, 531 using Prime Factorization

Given numbers are 493, 231, 998, 531

The list of prime factors of all numbers are

Prime factors of 493 are 17 x 29

Prime factors of 231 are 3 x 7 x 11

Prime factors of 998 are 2 x 499

Prime factors of 531 are 3 x 3 x 59

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

Steps to Calculate GCD of 493, 231, 998, 531 using LCM Formula

Given numbers are 493, 231, 998, 531

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

Apply this formula for all numbers.

Step1:

LCM(493, 231) = 113883

GCD(493, 231) = ( 493 x 231 ) / 113883

= 493 / 231

= 493


Step2:

LCM(1, 998) = 998

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

= 1 / 998

= 1


Step3:

LCM(1, 531) = 531

GCD(1, 531) = ( 1 x 531 ) / 531

= 1 / 531

= 1


So, Greatest Common Divisor of 493, 231, 998, 531 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 493, 231, 998, 531

Given numbers are 493, 231, 998, 531
The greatest common divisor of numbers 493, 231, 998, 531 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 231, 998, 531 is 1.

FAQs on GCD of 493, 231, 998, 531 Calculator

1. What is the GCD of 493, 231, 998, 531?

GCD of given numbers 493, 231, 998, 531 is 1


2. How to calculate the greatest common divisor of 493, 231, 998, 531?

We can find the highest common divisor of 493, 231, 998, 531 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 493, 231, 998, 531 i.e 1.


3. How can I use the GCD of 493, 231, 998, 531Calculator?

Out the numbers 493, 231, 998, 531 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.