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 390, 688, 897, 652 i.e. 1 largest integer that divides all the numbers equally.
GCD of 390, 688, 897, 652 is 1
GCD(390, 688, 897, 652) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 390, 688, 897, 652 is 1
GCD(390, 688, 897, 652) = 1
Given Input numbers are 390, 688, 897, 652
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
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 897
List of positive integer divisors of 897 that divides 897 without a remainder.
1, 3, 13, 23, 39, 69, 299, 897
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Greatest Common Divisior
We found the divisors of 390, 688, 897, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 688, 897, 652 is 1.
Therefore, GCD of numbers 390, 688, 897, 652 is 1
Given Input Data is 390, 688, 897, 652
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 390 is 2 x 3 x 5 x 13
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 897 is 3 x 13 x 23
Prime Factorization of 652 is 2 x 2 x 163
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(390, 688) = 134160
GCD(390, 688) = ( 390 x 688 ) / 134160
GCD(390, 688) = 268320 / 134160
GCD(390, 688) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 897
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 897) = 1794
GCD(2, 897) = ( 2 x 897 ) / 1794
GCD(2, 897) = 1794 / 1794
GCD(2, 897) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 652
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 652) = 652
GCD(1, 652) = ( 1 x 652 ) / 652
GCD(1, 652) = 652 / 652
GCD(1, 652) = 1
GCD of 390, 688, 897, 652 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 390, 688, 897, 652?
GCD of 390, 688, 897, 652 is 1
2. Where do I get the detailed procedure to find GCD of 390, 688, 897, 652?
You can find a detailed procedure to find GCD of 390, 688, 897, 652 on our page.
3. How to find GCD of 390, 688, 897, 652 on a calculator?
You can find the GCD of 390, 688, 897, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.