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 645, 688, 889, 388 i.e. 1 largest integer that divides all the numbers equally.
GCD of 645, 688, 889, 388 is 1
GCD(645, 688, 889, 388) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 645, 688, 889, 388 is 1
GCD(645, 688, 889, 388) = 1
Given Input numbers are 645, 688, 889, 388
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 889
List of positive integer divisors of 889 that divides 889 without a remainder.
1, 7, 127, 889
Divisors of 388
List of positive integer divisors of 388 that divides 388 without a remainder.
1, 2, 4, 97, 194, 388
Greatest Common Divisior
We found the divisors of 645, 688, 889, 388 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 645, 688, 889, 388 is 1.
Therefore, GCD of numbers 645, 688, 889, 388 is 1
Given Input Data is 645, 688, 889, 388
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 645 is 3 x 5 x 43
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 889 is 7 x 127
Prime Factorization of 388 is 2 x 2 x 97
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(645, 688) = 10320
GCD(645, 688) = ( 645 x 688 ) / 10320
GCD(645, 688) = 443760 / 10320
GCD(645, 688) = 43
Step2:
Here we consider the GCD from the above i.e. 43 as first number and the next as 889
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(43, 889) = 38227
GCD(43, 889) = ( 43 x 889 ) / 38227
GCD(43, 889) = 38227 / 38227
GCD(43, 889) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 388
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 388) = 388
GCD(1, 388) = ( 1 x 388 ) / 388
GCD(1, 388) = 388 / 388
GCD(1, 388) = 1
GCD of 645, 688, 889, 388 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 645, 688, 889, 388?
GCD of 645, 688, 889, 388 is 1
2. Where do I get the detailed procedure to find GCD of 645, 688, 889, 388?
You can find a detailed procedure to find GCD of 645, 688, 889, 388 on our page.
3. How to find GCD of 645, 688, 889, 388 on a calculator?
You can find the GCD of 645, 688, 889, 388 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.