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GCD of 522, 553, 165, 493 Calculator

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


Online GCD Calculator is useful to find the GCD of 522, 553, 165, 493 quickly. Get the easiest ways to solve the greatest common divisor of 522, 553, 165, 493 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 522, 553, 165, 493 with Factoring?

Given Input numbers are 522, 553, 165, 493

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

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 553 :

The positive integer divisors of 553 that completely divides 553 are.

1, 7, 79, 553

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 493 :

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

1, 17, 29, 493


GCD of numbers is the greatest common divisor

So, the GCD (522, 553, 165, 493) = 1.

Find GCD of 522, 553, 165, 493 using Prime Factorization

Given numbers are 522, 553, 165, 493

The list of prime factors of all numbers are

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

Prime factors of 553 are 7 x 79

Prime factors of 165 are 3 x 5 x 11

Prime factors of 493 are 17 x 29

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

Steps to Calculate GCD of 522, 553, 165, 493 using LCM Formula

Given numbers are 522, 553, 165, 493

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

Apply this formula for all numbers.

Step1:

LCM(522, 553) = 288666

GCD(522, 553) = ( 522 x 553 ) / 288666

= 522 / 553

= 522


Step2:

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

= 1 / 165

= 1


Step3:

LCM(1, 493) = 493

GCD(1, 493) = ( 1 x 493 ) / 493

= 1 / 493

= 1


So, Greatest Common Divisor of 522, 553, 165, 493 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 522, 553, 165, 493

Given numbers are 522, 553, 165, 493
The greatest common divisor of numbers 522, 553, 165, 493 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 553, 165, 493 is 1.

FAQs on GCD of 522, 553, 165, 493 Calculator

1. What is the GCD of 522, 553, 165, 493?

GCD of given numbers 522, 553, 165, 493 is 1


2. How to calculate the greatest common divisor of 522, 553, 165, 493?

We can find the highest common divisor of 522, 553, 165, 493 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 522, 553, 165, 493 i.e 1.


3. How can I use the GCD of 522, 553, 165, 493Calculator?

Out the numbers 522, 553, 165, 493 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.