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 744, 163, 114, 427 i.e. 1 largest integer that divides all the numbers equally.
GCD of 744, 163, 114, 427 is 1
GCD(744, 163, 114, 427) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 744, 163, 114, 427 is 1
GCD(744, 163, 114, 427) = 1
Given Input numbers are 744, 163, 114, 427
To find the GCD of numbers using factoring list out all the divisors of each number
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 163
List of positive integer divisors of 163 that divides 163 without a remainder.
1, 163
Divisors of 114
List of positive integer divisors of 114 that divides 114 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Greatest Common Divisior
We found the divisors of 744, 163, 114, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 163, 114, 427 is 1.
Therefore, GCD of numbers 744, 163, 114, 427 is 1
Given Input Data is 744, 163, 114, 427
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31
Prime Factorization of 163 is 163
Prime Factorization of 114 is 2 x 3 x 19
Prime Factorization of 427 is 7 x 61
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(744, 163) = 121272
GCD(744, 163) = ( 744 x 163 ) / 121272
GCD(744, 163) = 121272 / 121272
GCD(744, 163) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 114
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 114) = 114
GCD(1, 114) = ( 1 x 114 ) / 114
GCD(1, 114) = 114 / 114
GCD(1, 114) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 427
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 427) = 427
GCD(1, 427) = ( 1 x 427 ) / 427
GCD(1, 427) = 427 / 427
GCD(1, 427) = 1
GCD of 744, 163, 114, 427 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 744, 163, 114, 427?
GCD of 744, 163, 114, 427 is 1
2. Where do I get the detailed procedure to find GCD of 744, 163, 114, 427?
You can find a detailed procedure to find GCD of 744, 163, 114, 427 on our page.
3. How to find GCD of 744, 163, 114, 427 on a calculator?
You can find the GCD of 744, 163, 114, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.