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 71, 647, 426, 401 i.e. 1 largest integer that divides all the numbers equally.
GCD of 71, 647, 426, 401 is 1
GCD(71, 647, 426, 401) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 71, 647, 426, 401 is 1
GCD(71, 647, 426, 401) = 1
Given Input numbers are 71, 647, 426, 401
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 647
List of positive integer divisors of 647 that divides 647 without a remainder.
1, 647
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 401
List of positive integer divisors of 401 that divides 401 without a remainder.
1, 401
Greatest Common Divisior
We found the divisors of 71, 647, 426, 401 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 647, 426, 401 is 1.
Therefore, GCD of numbers 71, 647, 426, 401 is 1
Given Input Data is 71, 647, 426, 401
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 71 is 71
Prime Factorization of 647 is 647
Prime Factorization of 426 is 2 x 3 x 71
Prime Factorization of 401 is 401
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(71, 647) = 45937
GCD(71, 647) = ( 71 x 647 ) / 45937
GCD(71, 647) = 45937 / 45937
GCD(71, 647) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 426
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 426) = 426
GCD(1, 426) = ( 1 x 426 ) / 426
GCD(1, 426) = 426 / 426
GCD(1, 426) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 401
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 401) = 401
GCD(1, 401) = ( 1 x 401 ) / 401
GCD(1, 401) = 401 / 401
GCD(1, 401) = 1
GCD of 71, 647, 426, 401 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 71, 647, 426, 401?
GCD of 71, 647, 426, 401 is 1
2. Where do I get the detailed procedure to find GCD of 71, 647, 426, 401?
You can find a detailed procedure to find GCD of 71, 647, 426, 401 on our page.
3. How to find GCD of 71, 647, 426, 401 on a calculator?
You can find the GCD of 71, 647, 426, 401 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.