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 689, 533, 629, 753 i.e. 1 largest integer that divides all the numbers equally.
GCD of 689, 533, 629, 753 is 1
GCD(689, 533, 629, 753) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 689, 533, 629, 753 is 1
GCD(689, 533, 629, 753) = 1
Given Input numbers are 689, 533, 629, 753
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Divisors of 533
List of positive integer divisors of 533 that divides 533 without a remainder.
1, 13, 41, 533
Divisors of 629
List of positive integer divisors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Greatest Common Divisior
We found the divisors of 689, 533, 629, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 533, 629, 753 is 1.
Therefore, GCD of numbers 689, 533, 629, 753 is 1
Given Input Data is 689, 533, 629, 753
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 689 is 13 x 53
Prime Factorization of 533 is 13 x 41
Prime Factorization of 629 is 17 x 37
Prime Factorization of 753 is 3 x 251
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(689, 533) = 28249
GCD(689, 533) = ( 689 x 533 ) / 28249
GCD(689, 533) = 367237 / 28249
GCD(689, 533) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 629
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 629) = 8177
GCD(13, 629) = ( 13 x 629 ) / 8177
GCD(13, 629) = 8177 / 8177
GCD(13, 629) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 753
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 753) = 753
GCD(1, 753) = ( 1 x 753 ) / 753
GCD(1, 753) = 753 / 753
GCD(1, 753) = 1
GCD of 689, 533, 629, 753 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 689, 533, 629, 753?
GCD of 689, 533, 629, 753 is 1
2. Where do I get the detailed procedure to find GCD of 689, 533, 629, 753?
You can find a detailed procedure to find GCD of 689, 533, 629, 753 on our page.
3. How to find GCD of 689, 533, 629, 753 on a calculator?
You can find the GCD of 689, 533, 629, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.