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GCD of 231, 949, 522, 498 Calculator

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


Online GCD Calculator is useful to find the GCD of 231, 949, 522, 498 quickly. Get the easiest ways to solve the greatest common divisor of 231, 949, 522, 498 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 231, 949, 522, 498 with Factoring?

Given Input numbers are 231, 949, 522, 498

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

Divisors of 231 :

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

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

Divisors of 949 :

The positive integer divisors of 949 that completely divides 949 are.

1, 13, 73, 949

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498


GCD of numbers is the greatest common divisor

So, the GCD (231, 949, 522, 498) = 1.

Find GCD of 231, 949, 522, 498 using Prime Factorization

Given numbers are 231, 949, 522, 498

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 949 are 13 x 73

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 498 are 2 x 3 x 83

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

Steps to Calculate GCD of 231, 949, 522, 498 using LCM Formula

Given numbers are 231, 949, 522, 498

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

Apply this formula for all numbers.

Step1:

LCM(231, 949) = 219219

GCD(231, 949) = ( 231 x 949 ) / 219219

= 231 / 949

= 231


Step2:

LCM(1, 522) = 522

GCD(1, 522) = ( 1 x 522 ) / 522

= 1 / 522

= 1


Step3:

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

= 1 / 498

= 1


So, Greatest Common Divisor of 231, 949, 522, 498 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 231, 949, 522, 498

Given numbers are 231, 949, 522, 498
The greatest common divisor of numbers 231, 949, 522, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 949, 522, 498 is 1.

FAQs on GCD of 231, 949, 522, 498 Calculator

1. What is the GCD of 231, 949, 522, 498?

GCD of given numbers 231, 949, 522, 498 is 1


2. How to calculate the greatest common divisor of 231, 949, 522, 498?

We can find the highest common divisor of 231, 949, 522, 498 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 231, 949, 522, 498 i.e 1.


3. How can I use the GCD of 231, 949, 522, 498Calculator?

Out the numbers 231, 949, 522, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.