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 471, 637, 71 i.e. 1 largest integer that divides all the numbers equally.
GCD of 471, 637, 71 is 1
GCD(471, 637, 71) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 471, 637, 71 is 1
GCD(471, 637, 71) = 1
Given Input numbers are 471, 637, 71
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Divisors of 637
List of positive integer divisors of 637 that divides 637 without a remainder.
1, 7, 13, 49, 91, 637
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Greatest Common Divisior
We found the divisors of 471, 637, 71 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 637, 71 is 1.
Therefore, GCD of numbers 471, 637, 71 is 1
Given Input Data is 471, 637, 71
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 471 is 3 x 157
Prime Factorization of 637 is 7 x 7 x 13
Prime Factorization of 71 is 71
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(471, 637) = 300027
GCD(471, 637) = ( 471 x 637 ) / 300027
GCD(471, 637) = 300027 / 300027
GCD(471, 637) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 71) = 71
GCD(1, 71) = ( 1 x 71 ) / 71
GCD(1, 71) = 71 / 71
GCD(1, 71) = 1
GCD of 471, 637, 71 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 471, 637, 71?
GCD of 471, 637, 71 is 1
2. Where do I get the detailed procedure to find GCD of 471, 637, 71?
You can find a detailed procedure to find GCD of 471, 637, 71 on our page.
3. How to find GCD of 471, 637, 71 on a calculator?
You can find the GCD of 471, 637, 71 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.