GCD of 849, 549, 358 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 849, 549, 358 i.e. 1 largest integer that divides all the numbers equally.

GCD of 849, 549, 358 is 1

GCD(849, 549, 358) = 1

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

GCD of

GCD of numbers 849, 549, 358 is 1

GCD(849, 549, 358) = 1

GCD of 849,549,358 Calculator

GCDof 849,549,358 is 1

Given Input numbers are 849, 549, 358

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

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 849, 549, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 849, 549, 358 is 1.

Therefore, GCD of numbers 849, 549, 358 is 1

Finding GCD of 849, 549, 358 using Prime Factorization

Given Input Data is 849, 549, 358

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

Prime Factorization of 849 is 3 x 283

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 358 is 2 x 179

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

Finding GCD of 849, 549, 358 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(849, 549) = 155367

GCD(849, 549) = ( 849 x 549 ) / 155367

GCD(849, 549) = 466101 / 155367

GCD(849, 549) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 358

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

LCM(3, 358) = 1074

GCD(3, 358) = ( 3 x 358 ) / 1074

GCD(3, 358) = 1074 / 1074

GCD(3, 358) = 1

GCD of 849, 549, 358 is 1

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FAQs on GCD of numbers 849, 549, 358

1. What is the GCD of 849, 549, 358?

GCD of 849, 549, 358 is 1

2. Where do I get the detailed procedure to find GCD of 849, 549, 358?

You can find a detailed procedure to find GCD of 849, 549, 358 on our page.

3. How to find GCD of 849, 549, 358 on a calculator?

You can find the GCD of 849, 549, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.