GCD of 355, 497, 59 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 355, 497, 59 i.e. 1 largest integer that divides all the numbers equally.

GCD of 355, 497, 59 is 1

GCD(355, 497, 59) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 355, 497, 59 is 1

GCD(355, 497, 59) = 1

GCD of 355,497,59 Calculator

GCDof 355,497,59 is 1

Given Input numbers are 355, 497, 59

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Greatest Common Divisior

We found the divisors of 355, 497, 59 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 497, 59 is 1.

Therefore, GCD of numbers 355, 497, 59 is 1

Finding GCD of 355, 497, 59 using Prime Factorization

Given Input Data is 355, 497, 59

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 355 is 5 x 71

Prime Factorization of 497 is 7 x 71

Prime Factorization of 59 is 59

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

Finding GCD of 355, 497, 59 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(355, 497) = 2485

GCD(355, 497) = ( 355 x 497 ) / 2485

GCD(355, 497) = 176435 / 2485

GCD(355, 497) = 71

Step2:

Here we consider the GCD from the above i.e. 71 as first number and the next as 59

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

LCM(71, 59) = 4189

GCD(71, 59) = ( 71 x 59 ) / 4189

GCD(71, 59) = 4189 / 4189

GCD(71, 59) = 1

GCD of 355, 497, 59 is 1

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FAQs on GCD of numbers 355, 497, 59

1. What is the GCD of 355, 497, 59?

GCD of 355, 497, 59 is 1

2. Where do I get the detailed procedure to find GCD of 355, 497, 59?

You can find a detailed procedure to find GCD of 355, 497, 59 on our page.

3. How to find GCD of 355, 497, 59 on a calculator?

You can find the GCD of 355, 497, 59 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.