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 693, 440, 600, 671 i.e. 1 largest integer that divides all the numbers equally.
GCD of 693, 440, 600, 671 is 1
GCD(693, 440, 600, 671) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 693, 440, 600, 671 is 1
GCD(693, 440, 600, 671) = 1
Given Input numbers are 693, 440, 600, 671
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 693
List of positive integer divisors of 693 that divides 693 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 671
List of positive integer divisors of 671 that divides 671 without a remainder.
1, 11, 61, 671
Greatest Common Divisior
We found the divisors of 693, 440, 600, 671 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 440, 600, 671 is 1.
Therefore, GCD of numbers 693, 440, 600, 671 is 1
Given Input Data is 693, 440, 600, 671
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 693 is 3 x 3 x 7 x 11
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 671 is 11 x 61
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(693, 440) = 27720
GCD(693, 440) = ( 693 x 440 ) / 27720
GCD(693, 440) = 304920 / 27720
GCD(693, 440) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 600
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 600) = 6600
GCD(11, 600) = ( 11 x 600 ) / 6600
GCD(11, 600) = 6600 / 6600
GCD(11, 600) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 671
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 671) = 671
GCD(1, 671) = ( 1 x 671 ) / 671
GCD(1, 671) = 671 / 671
GCD(1, 671) = 1
GCD of 693, 440, 600, 671 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 693, 440, 600, 671?
GCD of 693, 440, 600, 671 is 1
2. Where do I get the detailed procedure to find GCD of 693, 440, 600, 671?
You can find a detailed procedure to find GCD of 693, 440, 600, 671 on our page.
3. How to find GCD of 693, 440, 600, 671 on a calculator?
You can find the GCD of 693, 440, 600, 671 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.