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 662, 472, 71 i.e. 1 largest integer that divides all the numbers equally.
GCD of 662, 472, 71 is 1
GCD(662, 472, 71) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 662, 472, 71 is 1
GCD(662, 472, 71) = 1
Given Input numbers are 662, 472, 71
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 662
List of positive integer divisors of 662 that divides 662 without a remainder.
1, 2, 331, 662
Divisors of 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
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 662, 472, 71 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 662, 472, 71 is 1.
Therefore, GCD of numbers 662, 472, 71 is 1
Given Input Data is 662, 472, 71
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 662 is 2 x 331
Prime Factorization of 472 is 2 x 2 x 2 x 59
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(662, 472) = 156232
GCD(662, 472) = ( 662 x 472 ) / 156232
GCD(662, 472) = 312464 / 156232
GCD(662, 472) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 71) = 142
GCD(2, 71) = ( 2 x 71 ) / 142
GCD(2, 71) = 142 / 142
GCD(2, 71) = 1
GCD of 662, 472, 71 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 662, 472, 71?
GCD of 662, 472, 71 is 1
2. Where do I get the detailed procedure to find GCD of 662, 472, 71?
You can find a detailed procedure to find GCD of 662, 472, 71 on our page.
3. How to find GCD of 662, 472, 71 on a calculator?
You can find the GCD of 662, 472, 71 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.