GCD of 177, 969, 65, 609 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 177, 969, 65, 609 i.e. 1 largest integer that divides all the numbers equally.

GCD of 177, 969, 65, 609 is 1

GCD(177, 969, 65, 609) = 1

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

GCD of

GCD of numbers 177, 969, 65, 609 is 1

GCD(177, 969, 65, 609) = 1

GCD of 177,969,65,609 Calculator

GCDof 177,969,65,609 is 1

Given Input numbers are 177, 969, 65, 609

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

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Greatest Common Divisior

We found the divisors of 177, 969, 65, 609 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 177, 969, 65, 609 is 1.

Therefore, GCD of numbers 177, 969, 65, 609 is 1

Finding GCD of 177, 969, 65, 609 using Prime Factorization

Given Input Data is 177, 969, 65, 609

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

Prime Factorization of 177 is 3 x 59

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 65 is 5 x 13

Prime Factorization of 609 is 3 x 7 x 29

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

Finding GCD of 177, 969, 65, 609 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(177, 969) = 57171

GCD(177, 969) = ( 177 x 969 ) / 57171

GCD(177, 969) = 171513 / 57171

GCD(177, 969) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 65

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

LCM(3, 65) = 195

GCD(3, 65) = ( 3 x 65 ) / 195

GCD(3, 65) = 195 / 195

GCD(3, 65) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 609

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

LCM(1, 609) = 609

GCD(1, 609) = ( 1 x 609 ) / 609

GCD(1, 609) = 609 / 609

GCD(1, 609) = 1

GCD of 177, 969, 65, 609 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 177, 969, 65, 609

1. What is the GCD of 177, 969, 65, 609?

GCD of 177, 969, 65, 609 is 1


2. Where do I get the detailed procedure to find GCD of 177, 969, 65, 609?

You can find a detailed procedure to find GCD of 177, 969, 65, 609 on our page.


3. How to find GCD of 177, 969, 65, 609 on a calculator?

You can find the GCD of 177, 969, 65, 609 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.