GCD of 55, 975, 413, 488 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 55, 975, 413, 488 i.e. 1 largest integer that divides all the numbers equally.

GCD of 55, 975, 413, 488 is 1

GCD(55, 975, 413, 488) = 1

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

GCD of

GCD of numbers 55, 975, 413, 488 is 1

GCD(55, 975, 413, 488) = 1

GCD of 55,975,413,488 Calculator

GCDof 55,975,413,488 is 1

Given Input numbers are 55, 975, 413, 488

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

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 413

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

1, 7, 59, 413

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Greatest Common Divisior

We found the divisors of 55, 975, 413, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 55, 975, 413, 488 is 1.

Therefore, GCD of numbers 55, 975, 413, 488 is 1

Finding GCD of 55, 975, 413, 488 using Prime Factorization

Given Input Data is 55, 975, 413, 488

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

Prime Factorization of 55 is 5 x 11

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 413 is 7 x 59

Prime Factorization of 488 is 2 x 2 x 2 x 61

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

Finding GCD of 55, 975, 413, 488 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(55, 975) = 10725

GCD(55, 975) = ( 55 x 975 ) / 10725

GCD(55, 975) = 53625 / 10725

GCD(55, 975) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 413

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

LCM(5, 413) = 2065

GCD(5, 413) = ( 5 x 413 ) / 2065

GCD(5, 413) = 2065 / 2065

GCD(5, 413) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 488

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

LCM(1, 488) = 488

GCD(1, 488) = ( 1 x 488 ) / 488

GCD(1, 488) = 488 / 488

GCD(1, 488) = 1

GCD of 55, 975, 413, 488 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 55, 975, 413, 488

1. What is the GCD of 55, 975, 413, 488?

GCD of 55, 975, 413, 488 is 1


2. Where do I get the detailed procedure to find GCD of 55, 975, 413, 488?

You can find a detailed procedure to find GCD of 55, 975, 413, 488 on our page.


3. How to find GCD of 55, 975, 413, 488 on a calculator?

You can find the GCD of 55, 975, 413, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.