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 numbers 10, 238, 161, 968 is 1
GCD(10, 238, 161, 968) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.