GCD of 677, 509, 128, 969 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 677, 509, 128, 969 i.e. 1 largest integer that divides all the numbers equally.

GCD of 677, 509, 128, 969 is 1

GCD(677, 509, 128, 969) = 1

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

GCD of

GCD of numbers 677, 509, 128, 969 is 1

GCD(677, 509, 128, 969) = 1

GCD of 677,509,128,969 Calculator

GCDof 677,509,128,969 is 1

Given Input numbers are 677, 509, 128, 969

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

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 969

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

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

Greatest Common Divisior

We found the divisors of 677, 509, 128, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 677, 509, 128, 969 is 1.

Therefore, GCD of numbers 677, 509, 128, 969 is 1

Finding GCD of 677, 509, 128, 969 using Prime Factorization

Given Input Data is 677, 509, 128, 969

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

Prime Factorization of 677 is 677

Prime Factorization of 509 is 509

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 969 is 3 x 17 x 19

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

Finding GCD of 677, 509, 128, 969 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(677, 509) = 344593

GCD(677, 509) = ( 677 x 509 ) / 344593

GCD(677, 509) = 344593 / 344593

GCD(677, 509) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 128

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

LCM(1, 128) = 128

GCD(1, 128) = ( 1 x 128 ) / 128

GCD(1, 128) = 128 / 128

GCD(1, 128) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 969

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

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

GCD(1, 969) = 969 / 969

GCD(1, 969) = 1

GCD of 677, 509, 128, 969 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 677, 509, 128, 969

1. What is the GCD of 677, 509, 128, 969?

GCD of 677, 509, 128, 969 is 1


2. Where do I get the detailed procedure to find GCD of 677, 509, 128, 969?

You can find a detailed procedure to find GCD of 677, 509, 128, 969 on our page.


3. How to find GCD of 677, 509, 128, 969 on a calculator?

You can find the GCD of 677, 509, 128, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.