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 652, 724, 622, 311 i.e. 1 largest integer that divides all the numbers equally.
GCD of 652, 724, 622, 311 is 1
GCD(652, 724, 622, 311) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 652, 724, 622, 311 is 1
GCD(652, 724, 622, 311) = 1
Given Input numbers are 652, 724, 622, 311
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Divisors of 622
List of positive integer divisors of 622 that divides 622 without a remainder.
1, 2, 311, 622
Divisors of 311
List of positive integer divisors of 311 that divides 311 without a remainder.
1, 311
Greatest Common Divisior
We found the divisors of 652, 724, 622, 311 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 652, 724, 622, 311 is 1.
Therefore, GCD of numbers 652, 724, 622, 311 is 1
Given Input Data is 652, 724, 622, 311
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 652 is 2 x 2 x 163
Prime Factorization of 724 is 2 x 2 x 181
Prime Factorization of 622 is 2 x 311
Prime Factorization of 311 is 311
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(652, 724) = 118012
GCD(652, 724) = ( 652 x 724 ) / 118012
GCD(652, 724) = 472048 / 118012
GCD(652, 724) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 622
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 622) = 1244
GCD(4, 622) = ( 4 x 622 ) / 1244
GCD(4, 622) = 2488 / 1244
GCD(4, 622) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 311
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 311) = 622
GCD(2, 311) = ( 2 x 311 ) / 622
GCD(2, 311) = 622 / 622
GCD(2, 311) = 1
GCD of 652, 724, 622, 311 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 652, 724, 622, 311?
GCD of 652, 724, 622, 311 is 1
2. Where do I get the detailed procedure to find GCD of 652, 724, 622, 311?
You can find a detailed procedure to find GCD of 652, 724, 622, 311 on our page.
3. How to find GCD of 652, 724, 622, 311 on a calculator?
You can find the GCD of 652, 724, 622, 311 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.