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GCD of 493, 483, 724, 117 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, 483, 724, 117 quickly. Get the easiest ways to solve the greatest common divisor of 493, 483, 724, 117 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 493, 483, 724, 117 with Factoring?

Given Input numbers are 493, 483, 724, 117

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 483 :

The positive integer divisors of 483 that completely divides 483 are.

1, 3, 7, 21, 23, 69, 161, 483

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117


GCD of numbers is the greatest common divisor

So, the GCD (493, 483, 724, 117) = 1.

Find GCD of 493, 483, 724, 117 using Prime Factorization

Given numbers are 493, 483, 724, 117

The list of prime factors of all numbers are

Prime factors of 493 are 17 x 29

Prime factors of 483 are 3 x 7 x 23

Prime factors of 724 are 2 x 2 x 181

Prime factors of 117 are 3 x 3 x 13

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

Steps to Calculate GCD of 493, 483, 724, 117 using LCM Formula

Given numbers are 493, 483, 724, 117

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

Apply this formula for all numbers.

Step1:

LCM(493, 483) = 238119

GCD(493, 483) = ( 493 x 483 ) / 238119

= 493 / 483

= 493


Step2:

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

= 1 / 724

= 1


Step3:

LCM(1, 117) = 117

GCD(1, 117) = ( 1 x 117 ) / 117

= 1 / 117

= 1


So, Greatest Common Divisor of 493, 483, 724, 117 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 493, 483, 724, 117

Given numbers are 493, 483, 724, 117
The greatest common divisor of numbers 493, 483, 724, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 483, 724, 117 is 1.

FAQs on GCD of 493, 483, 724, 117 Calculator

1. What is the GCD of 493, 483, 724, 117?

GCD of given numbers 493, 483, 724, 117 is 1


2. How to calculate the greatest common divisor of 493, 483, 724, 117?

We can find the highest common divisor of 493, 483, 724, 117 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, 483, 724, 117 i.e 1.


3. How can I use the GCD of 493, 483, 724, 117Calculator?

Out the numbers 493, 483, 724, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.