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, 649, 660, 733 i.e. 1 largest integer that divides all the numbers equally.
GCD of 71, 649, 660, 733 is 1
GCD(71, 649, 660, 733) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 71, 649, 660, 733 is 1
GCD(71, 649, 660, 733) = 1
Given Input numbers are 71, 649, 660, 733
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 649
List of positive integer divisors of 649 that divides 649 without a remainder.
1, 11, 59, 649
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 733
List of positive integer divisors of 733 that divides 733 without a remainder.
1, 733
Greatest Common Divisior
We found the divisors of 71, 649, 660, 733 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 649, 660, 733 is 1.
Therefore, GCD of numbers 71, 649, 660, 733 is 1
Given Input Data is 71, 649, 660, 733
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 71 is 71
Prime Factorization of 649 is 11 x 59
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 733 is 733
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, 649) = 46079
GCD(71, 649) = ( 71 x 649 ) / 46079
GCD(71, 649) = 46079 / 46079
GCD(71, 649) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 660
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 660) = 660
GCD(1, 660) = ( 1 x 660 ) / 660
GCD(1, 660) = 660 / 660
GCD(1, 660) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 733
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 733) = 733
GCD(1, 733) = ( 1 x 733 ) / 733
GCD(1, 733) = 733 / 733
GCD(1, 733) = 1
GCD of 71, 649, 660, 733 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 71, 649, 660, 733?
GCD of 71, 649, 660, 733 is 1
2. Where do I get the detailed procedure to find GCD of 71, 649, 660, 733?
You can find a detailed procedure to find GCD of 71, 649, 660, 733 on our page.
3. How to find GCD of 71, 649, 660, 733 on a calculator?
You can find the GCD of 71, 649, 660, 733 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.