GCD of 10, 238, 161, 968 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 10, 238, 161, 968 i.e. 1 largest integer that divides all the numbers equally.

GCD of 10, 238, 161, 968 is 1

GCD(10, 238, 161, 968) = 1

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

GCD of

GCD of numbers 10, 238, 161, 968 is 1

GCD(10, 238, 161, 968) = 1

GCD of 10,238,161,968 Calculator

GCDof 10,238,161,968 is 1

Given Input numbers are 10, 238, 161, 968

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Greatest Common Divisior

We found the divisors of 10, 238, 161, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 238, 161, 968 is 1.

Therefore, GCD of numbers 10, 238, 161, 968 is 1

Finding GCD of 10, 238, 161, 968 using Prime Factorization

Given Input Data is 10, 238, 161, 968

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 161 is 7 x 23

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

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

Finding GCD of 10, 238, 161, 968 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(10, 238) = 1190

GCD(10, 238) = ( 10 x 238 ) / 1190

GCD(10, 238) = 2380 / 1190

GCD(10, 238) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 161

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

LCM(2, 161) = 322

GCD(2, 161) = ( 2 x 161 ) / 322

GCD(2, 161) = 322 / 322

GCD(2, 161) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 968

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

LCM(1, 968) = 968

GCD(1, 968) = ( 1 x 968 ) / 968

GCD(1, 968) = 968 / 968

GCD(1, 968) = 1

GCD of 10, 238, 161, 968 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 10, 238, 161, 968

1. What is the GCD of 10, 238, 161, 968?

GCD of 10, 238, 161, 968 is 1


2. Where do I get the detailed procedure to find GCD of 10, 238, 161, 968?

You can find a detailed procedure to find GCD of 10, 238, 161, 968 on our page.


3. How to find GCD of 10, 238, 161, 968 on a calculator?

You can find the GCD of 10, 238, 161, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.