GCD of 553, 307, 413 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 553, 307, 413 i.e. 1 largest integer that divides all the numbers equally.

GCD of 553, 307, 413 is 1

GCD(553, 307, 413) = 1

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

GCD of

GCD of numbers 553, 307, 413 is 1

GCD(553, 307, 413) = 1

GCD of 553,307,413 Calculator

GCDof 553,307,413 is 1

Given Input numbers are 553, 307, 413

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

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Greatest Common Divisior

We found the divisors of 553, 307, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 307, 413 is 1.

Therefore, GCD of numbers 553, 307, 413 is 1

Finding GCD of 553, 307, 413 using Prime Factorization

Given Input Data is 553, 307, 413

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

Prime Factorization of 553 is 7 x 79

Prime Factorization of 307 is 307

Prime Factorization of 413 is 7 x 59

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

Finding GCD of 553, 307, 413 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(553, 307) = 169771

GCD(553, 307) = ( 553 x 307 ) / 169771

GCD(553, 307) = 169771 / 169771

GCD(553, 307) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 413

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

LCM(1, 413) = 413

GCD(1, 413) = ( 1 x 413 ) / 413

GCD(1, 413) = 413 / 413

GCD(1, 413) = 1

GCD of 553, 307, 413 is 1

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FAQs on GCD of numbers 553, 307, 413

1. What is the GCD of 553, 307, 413?

GCD of 553, 307, 413 is 1

2. Where do I get the detailed procedure to find GCD of 553, 307, 413?

You can find a detailed procedure to find GCD of 553, 307, 413 on our page.

3. How to find GCD of 553, 307, 413 on a calculator?

You can find the GCD of 553, 307, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.