GCD of 686, 960, 73, 155 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 686, 960, 73, 155 i.e. 1 largest integer that divides all the numbers equally.

GCD of 686, 960, 73, 155 is 1

GCD(686, 960, 73, 155) = 1

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

GCD of

GCD of numbers 686, 960, 73, 155 is 1

GCD(686, 960, 73, 155) = 1

GCD of 686,960,73,155 Calculator

GCDof 686,960,73,155 is 1

Given Input numbers are 686, 960, 73, 155

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

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 155

List of positive integer divisors of 155 that divides 155 without a remainder.

1, 5, 31, 155

Greatest Common Divisior

We found the divisors of 686, 960, 73, 155 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 960, 73, 155 is 1.

Therefore, GCD of numbers 686, 960, 73, 155 is 1

Finding GCD of 686, 960, 73, 155 using Prime Factorization

Given Input Data is 686, 960, 73, 155

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

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 73 is 73

Prime Factorization of 155 is 5 x 31

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

Finding GCD of 686, 960, 73, 155 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(686, 960) = 329280

GCD(686, 960) = ( 686 x 960 ) / 329280

GCD(686, 960) = 658560 / 329280

GCD(686, 960) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 73

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

LCM(2, 73) = 146

GCD(2, 73) = ( 2 x 73 ) / 146

GCD(2, 73) = 146 / 146

GCD(2, 73) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 155

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

LCM(1, 155) = 155

GCD(1, 155) = ( 1 x 155 ) / 155

GCD(1, 155) = 155 / 155

GCD(1, 155) = 1

GCD of 686, 960, 73, 155 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 686, 960, 73, 155

1. What is the GCD of 686, 960, 73, 155?

GCD of 686, 960, 73, 155 is 1


2. Where do I get the detailed procedure to find GCD of 686, 960, 73, 155?

You can find a detailed procedure to find GCD of 686, 960, 73, 155 on our page.


3. How to find GCD of 686, 960, 73, 155 on a calculator?

You can find the GCD of 686, 960, 73, 155 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.