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GCD of 497, 155, 287, 723 Calculator

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


Online GCD Calculator is useful to find the GCD of 497, 155, 287, 723 quickly. Get the easiest ways to solve the greatest common divisor of 497, 155, 287, 723 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 497, 155, 287, 723 with Factoring?

Given Input numbers are 497, 155, 287, 723

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

Divisors of 497 :

The positive integer divisors of 497 that completely divides 497 are.

1, 7, 71, 497

Divisors of 155 :

The positive integer divisors of 155 that completely divides 155 are.

1, 5, 31, 155

Divisors of 287 :

The positive integer divisors of 287 that completely divides 287 are.

1, 7, 41, 287

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723


GCD of numbers is the greatest common divisor

So, the GCD (497, 155, 287, 723) = 1.

Find GCD of 497, 155, 287, 723 using Prime Factorization

Given numbers are 497, 155, 287, 723

The list of prime factors of all numbers are

Prime factors of 497 are 7 x 71

Prime factors of 155 are 5 x 31

Prime factors of 287 are 7 x 41

Prime factors of 723 are 3 x 241

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

Steps to Calculate GCD of 497, 155, 287, 723 using LCM Formula

Given numbers are 497, 155, 287, 723

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

Apply this formula for all numbers.

Step1:

LCM(497, 155) = 77035

GCD(497, 155) = ( 497 x 155 ) / 77035

= 497 / 155

= 497


Step2:

LCM(1, 287) = 287

GCD(1, 287) = ( 1 x 287 ) / 287

= 1 / 287

= 1


Step3:

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

= 1 / 723

= 1


So, Greatest Common Divisor of 497, 155, 287, 723 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 497, 155, 287, 723

Given numbers are 497, 155, 287, 723
The greatest common divisor of numbers 497, 155, 287, 723 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 497, 155, 287, 723 is 1.

FAQs on GCD of 497, 155, 287, 723 Calculator

1. What is the GCD of 497, 155, 287, 723?

GCD of given numbers 497, 155, 287, 723 is 1


2. How to calculate the greatest common divisor of 497, 155, 287, 723?

We can find the highest common divisor of 497, 155, 287, 723 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 497, 155, 287, 723 i.e 1.


3. How can I use the GCD of 497, 155, 287, 723Calculator?

Out the numbers 497, 155, 287, 723 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.