GCD of 89, 617, 709, 182 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 89, 617, 709, 182 i.e. 1 largest integer that divides all the numbers equally.

GCD of 89, 617, 709, 182 is 1

GCD(89, 617, 709, 182) = 1

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

GCD of

GCD of numbers 89, 617, 709, 182 is 1

GCD(89, 617, 709, 182) = 1

GCD of 89,617,709,182 Calculator

GCDof 89,617,709,182 is 1

Given Input numbers are 89, 617, 709, 182

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

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Greatest Common Divisior

We found the divisors of 89, 617, 709, 182 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 617, 709, 182 is 1.

Therefore, GCD of numbers 89, 617, 709, 182 is 1

Finding GCD of 89, 617, 709, 182 using Prime Factorization

Given Input Data is 89, 617, 709, 182

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

Prime Factorization of 89 is 89

Prime Factorization of 617 is 617

Prime Factorization of 709 is 709

Prime Factorization of 182 is 2 x 7 x 13

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

Finding GCD of 89, 617, 709, 182 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(89, 617) = 54913

GCD(89, 617) = ( 89 x 617 ) / 54913

GCD(89, 617) = 54913 / 54913

GCD(89, 617) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 709

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

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

GCD(1, 709) = 709 / 709

GCD(1, 709) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 182

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

LCM(1, 182) = 182

GCD(1, 182) = ( 1 x 182 ) / 182

GCD(1, 182) = 182 / 182

GCD(1, 182) = 1

GCD of 89, 617, 709, 182 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 89, 617, 709, 182

1. What is the GCD of 89, 617, 709, 182?

GCD of 89, 617, 709, 182 is 1


2. Where do I get the detailed procedure to find GCD of 89, 617, 709, 182?

You can find a detailed procedure to find GCD of 89, 617, 709, 182 on our page.


3. How to find GCD of 89, 617, 709, 182 on a calculator?

You can find the GCD of 89, 617, 709, 182 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.