GCD of 20, 148, 417, 883 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 20, 148, 417, 883 i.e. 1 largest integer that divides all the numbers equally.

GCD of 20, 148, 417, 883 is 1

GCD(20, 148, 417, 883) = 1

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

GCD of

GCD of numbers 20, 148, 417, 883 is 1

GCD(20, 148, 417, 883) = 1

GCD of 20,148,417,883 Calculator

GCDof 20,148,417,883 is 1

Given Input numbers are 20, 148, 417, 883

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

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Divisors of 883

List of positive integer divisors of 883 that divides 883 without a remainder.

1, 883

Greatest Common Divisior

We found the divisors of 20, 148, 417, 883 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 148, 417, 883 is 1.

Therefore, GCD of numbers 20, 148, 417, 883 is 1

Finding GCD of 20, 148, 417, 883 using Prime Factorization

Given Input Data is 20, 148, 417, 883

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 417 is 3 x 139

Prime Factorization of 883 is 883

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

Finding GCD of 20, 148, 417, 883 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(20, 148) = 740

GCD(20, 148) = ( 20 x 148 ) / 740

GCD(20, 148) = 2960 / 740

GCD(20, 148) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 417

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

LCM(4, 417) = 1668

GCD(4, 417) = ( 4 x 417 ) / 1668

GCD(4, 417) = 1668 / 1668

GCD(4, 417) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 883

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

LCM(1, 883) = 883

GCD(1, 883) = ( 1 x 883 ) / 883

GCD(1, 883) = 883 / 883

GCD(1, 883) = 1

GCD of 20, 148, 417, 883 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 20, 148, 417, 883

1. What is the GCD of 20, 148, 417, 883?

GCD of 20, 148, 417, 883 is 1


2. Where do I get the detailed procedure to find GCD of 20, 148, 417, 883?

You can find a detailed procedure to find GCD of 20, 148, 417, 883 on our page.


3. How to find GCD of 20, 148, 417, 883 on a calculator?

You can find the GCD of 20, 148, 417, 883 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.