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, 696, 251, 824 i.e. 1 largest integer that divides all the numbers equally.
GCD of 652, 696, 251, 824 is 1
GCD(652, 696, 251, 824) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 652, 696, 251, 824 is 1
GCD(652, 696, 251, 824) = 1
Given Input numbers are 652, 696, 251, 824
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 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 251
List of positive integer divisors of 251 that divides 251 without a remainder.
1, 251
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Greatest Common Divisior
We found the divisors of 652, 696, 251, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 652, 696, 251, 824 is 1.
Therefore, GCD of numbers 652, 696, 251, 824 is 1
Given Input Data is 652, 696, 251, 824
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 696 is 2 x 2 x 2 x 3 x 29
Prime Factorization of 251 is 251
Prime Factorization of 824 is 2 x 2 x 2 x 103
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, 696) = 113448
GCD(652, 696) = ( 652 x 696 ) / 113448
GCD(652, 696) = 453792 / 113448
GCD(652, 696) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 251
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 251) = 1004
GCD(4, 251) = ( 4 x 251 ) / 1004
GCD(4, 251) = 1004 / 1004
GCD(4, 251) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 824
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 824) = 824
GCD(1, 824) = ( 1 x 824 ) / 824
GCD(1, 824) = 824 / 824
GCD(1, 824) = 1
GCD of 652, 696, 251, 824 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 652, 696, 251, 824?
GCD of 652, 696, 251, 824 is 1
2. Where do I get the detailed procedure to find GCD of 652, 696, 251, 824?
You can find a detailed procedure to find GCD of 652, 696, 251, 824 on our page.
3. How to find GCD of 652, 696, 251, 824 on a calculator?
You can find the GCD of 652, 696, 251, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.