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 427, 171, 944, 827 i.e. 1 largest integer that divides all the numbers equally.
GCD of 427, 171, 944, 827 is 1
GCD(427, 171, 944, 827) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 427, 171, 944, 827 is 1
GCD(427, 171, 944, 827) = 1
Given Input numbers are 427, 171, 944, 827
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Divisors of 171
List of positive integer divisors of 171 that divides 171 without a remainder.
1, 3, 9, 19, 57, 171
Divisors of 944
List of positive integer divisors of 944 that divides 944 without a remainder.
1, 2, 4, 8, 16, 59, 118, 236, 472, 944
Divisors of 827
List of positive integer divisors of 827 that divides 827 without a remainder.
1, 827
Greatest Common Divisior
We found the divisors of 427, 171, 944, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 427, 171, 944, 827 is 1.
Therefore, GCD of numbers 427, 171, 944, 827 is 1
Given Input Data is 427, 171, 944, 827
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 427 is 7 x 61
Prime Factorization of 171 is 3 x 3 x 19
Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59
Prime Factorization of 827 is 827
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(427, 171) = 73017
GCD(427, 171) = ( 427 x 171 ) / 73017
GCD(427, 171) = 73017 / 73017
GCD(427, 171) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 944
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 944) = 944
GCD(1, 944) = ( 1 x 944 ) / 944
GCD(1, 944) = 944 / 944
GCD(1, 944) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 827
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 827) = 827
GCD(1, 827) = ( 1 x 827 ) / 827
GCD(1, 827) = 827 / 827
GCD(1, 827) = 1
GCD of 427, 171, 944, 827 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 427, 171, 944, 827?
GCD of 427, 171, 944, 827 is 1
2. Where do I get the detailed procedure to find GCD of 427, 171, 944, 827?
You can find a detailed procedure to find GCD of 427, 171, 944, 827 on our page.
3. How to find GCD of 427, 171, 944, 827 on a calculator?
You can find the GCD of 427, 171, 944, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.