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GCD of 164, 596, 703, 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 164, 596, 703, 493 quickly. Get the easiest ways to solve the greatest common divisor of 164, 596, 703, 493 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 164, 596, 703, 493 with Factoring?

Given Input numbers are 164, 596, 703, 493

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

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

Divisors of 703 :

The positive integer divisors of 703 that completely divides 703 are.

1, 19, 37, 703

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 (164, 596, 703, 493) = 1.

Find GCD of 164, 596, 703, 493 using Prime Factorization

Given numbers are 164, 596, 703, 493

The list of prime factors of all numbers are

Prime factors of 164 are 2 x 2 x 41

Prime factors of 596 are 2 x 2 x 149

Prime factors of 703 are 19 x 37

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 164, 596, 703, 493 using LCM Formula

Given numbers are 164, 596, 703, 493

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

Apply this formula for all numbers.

Step1:

LCM(164, 596) = 24436

GCD(164, 596) = ( 164 x 596 ) / 24436

= 164 / 596

= 164


Step2:

LCM(4, 703) = 2812

GCD(4, 703) = ( 4 x 703 ) / 2812

= 4 / 703

= 4


Step3:

LCM(1, 493) = 493

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

= 1 / 493

= 1


So, Greatest Common Divisor of 164, 596, 703, 493 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 164, 596, 703, 493

Given numbers are 164, 596, 703, 493
The greatest common divisor of numbers 164, 596, 703, 493 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 596, 703, 493 is 1.

FAQs on GCD of 164, 596, 703, 493 Calculator

1. What is the GCD of 164, 596, 703, 493?

GCD of given numbers 164, 596, 703, 493 is 1


2. How to calculate the greatest common divisor of 164, 596, 703, 493?

We can find the highest common divisor of 164, 596, 703, 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 164, 596, 703, 493 i.e 1.


3. How can I use the GCD of 164, 596, 703, 493Calculator?

Out the numbers 164, 596, 703, 493 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.