GCD of 959, 149, 257, 693 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 959, 149, 257, 693 i.e. 1 largest integer that divides all the numbers equally.

GCD of 959, 149, 257, 693 is 1

GCD(959, 149, 257, 693) = 1

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

GCD of

GCD of numbers 959, 149, 257, 693 is 1

GCD(959, 149, 257, 693) = 1

GCD of 959,149,257,693 Calculator

GCDof 959,149,257,693 is 1

Given Input numbers are 959, 149, 257, 693

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

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Greatest Common Divisior

We found the divisors of 959, 149, 257, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 959, 149, 257, 693 is 1.

Therefore, GCD of numbers 959, 149, 257, 693 is 1

Finding GCD of 959, 149, 257, 693 using Prime Factorization

Given Input Data is 959, 149, 257, 693

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

Prime Factorization of 959 is 7 x 137

Prime Factorization of 149 is 149

Prime Factorization of 257 is 257

Prime Factorization of 693 is 3 x 3 x 7 x 11

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

Finding GCD of 959, 149, 257, 693 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(959, 149) = 142891

GCD(959, 149) = ( 959 x 149 ) / 142891

GCD(959, 149) = 142891 / 142891

GCD(959, 149) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 257

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

LCM(1, 257) = 257

GCD(1, 257) = ( 1 x 257 ) / 257

GCD(1, 257) = 257 / 257

GCD(1, 257) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 693

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

LCM(1, 693) = 693

GCD(1, 693) = ( 1 x 693 ) / 693

GCD(1, 693) = 693 / 693

GCD(1, 693) = 1

GCD of 959, 149, 257, 693 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 959, 149, 257, 693

1. What is the GCD of 959, 149, 257, 693?

GCD of 959, 149, 257, 693 is 1


2. Where do I get the detailed procedure to find GCD of 959, 149, 257, 693?

You can find a detailed procedure to find GCD of 959, 149, 257, 693 on our page.


3. How to find GCD of 959, 149, 257, 693 on a calculator?

You can find the GCD of 959, 149, 257, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.