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 426, 254, 161, 861 i.e. 1 largest integer that divides all the numbers equally.
GCD of 426, 254, 161, 861 is 1
GCD(426, 254, 161, 861) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 426, 254, 161, 861 is 1
GCD(426, 254, 161, 861) = 1
Given Input numbers are 426, 254, 161, 861
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 254
List of positive integer divisors of 254 that divides 254 without a remainder.
1, 2, 127, 254
Divisors of 161
List of positive integer divisors of 161 that divides 161 without a remainder.
1, 7, 23, 161
Divisors of 861
List of positive integer divisors of 861 that divides 861 without a remainder.
1, 3, 7, 21, 41, 123, 287, 861
Greatest Common Divisior
We found the divisors of 426, 254, 161, 861 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 254, 161, 861 is 1.
Therefore, GCD of numbers 426, 254, 161, 861 is 1
Given Input Data is 426, 254, 161, 861
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 426 is 2 x 3 x 71
Prime Factorization of 254 is 2 x 127
Prime Factorization of 161 is 7 x 23
Prime Factorization of 861 is 3 x 7 x 41
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(426, 254) = 54102
GCD(426, 254) = ( 426 x 254 ) / 54102
GCD(426, 254) = 108204 / 54102
GCD(426, 254) = 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 861
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 861) = 861
GCD(1, 861) = ( 1 x 861 ) / 861
GCD(1, 861) = 861 / 861
GCD(1, 861) = 1
GCD of 426, 254, 161, 861 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 426, 254, 161, 861?
GCD of 426, 254, 161, 861 is 1
2. Where do I get the detailed procedure to find GCD of 426, 254, 161, 861?
You can find a detailed procedure to find GCD of 426, 254, 161, 861 on our page.
3. How to find GCD of 426, 254, 161, 861 on a calculator?
You can find the GCD of 426, 254, 161, 861 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.