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 142, 744, 26, 231 i.e. 1 largest integer that divides all the numbers equally.
GCD of 142, 744, 26, 231 is 1
GCD(142, 744, 26, 231) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 142, 744, 26, 231 is 1
GCD(142, 744, 26, 231) = 1
Given Input numbers are 142, 744, 26, 231
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 744
List of positive integer divisors of 744 that divides 744 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 26
List of positive integer divisors of 26 that divides 26 without a remainder.
1, 2, 13, 26
Divisors of 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Greatest Common Divisior
We found the divisors of 142, 744, 26, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 744, 26, 231 is 1.
Therefore, GCD of numbers 142, 744, 26, 231 is 1
Given Input Data is 142, 744, 26, 231
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 142 is 2 x 71
Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31
Prime Factorization of 26 is 2 x 13
Prime Factorization of 231 is 3 x 7 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(142, 744) = 52824
GCD(142, 744) = ( 142 x 744 ) / 52824
GCD(142, 744) = 105648 / 52824
GCD(142, 744) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 26
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 26) = 26
GCD(2, 26) = ( 2 x 26 ) / 26
GCD(2, 26) = 52 / 26
GCD(2, 26) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 231
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 231) = 462
GCD(2, 231) = ( 2 x 231 ) / 462
GCD(2, 231) = 462 / 462
GCD(2, 231) = 1
GCD of 142, 744, 26, 231 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 142, 744, 26, 231?
GCD of 142, 744, 26, 231 is 1
2. Where do I get the detailed procedure to find GCD of 142, 744, 26, 231?
You can find a detailed procedure to find GCD of 142, 744, 26, 231 on our page.
3. How to find GCD of 142, 744, 26, 231 on a calculator?
You can find the GCD of 142, 744, 26, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.