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, 748, 902, 509 i.e. 1 largest integer that divides all the numbers equally.
GCD of 652, 748, 902, 509 is 1
GCD(652, 748, 902, 509) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 652, 748, 902, 509 is 1
GCD(652, 748, 902, 509) = 1
Given Input numbers are 652, 748, 902, 509
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 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 902
List of positive integer divisors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 509
List of positive integer divisors of 509 that divides 509 without a remainder.
1, 509
Greatest Common Divisior
We found the divisors of 652, 748, 902, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 652, 748, 902, 509 is 1.
Therefore, GCD of numbers 652, 748, 902, 509 is 1
Given Input Data is 652, 748, 902, 509
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 748 is 2 x 2 x 11 x 17
Prime Factorization of 902 is 2 x 11 x 41
Prime Factorization of 509 is 509
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, 748) = 121924
GCD(652, 748) = ( 652 x 748 ) / 121924
GCD(652, 748) = 487696 / 121924
GCD(652, 748) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 902
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 902) = 1804
GCD(4, 902) = ( 4 x 902 ) / 1804
GCD(4, 902) = 3608 / 1804
GCD(4, 902) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 509
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 509) = 1018
GCD(2, 509) = ( 2 x 509 ) / 1018
GCD(2, 509) = 1018 / 1018
GCD(2, 509) = 1
GCD of 652, 748, 902, 509 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 652, 748, 902, 509?
GCD of 652, 748, 902, 509 is 1
2. Where do I get the detailed procedure to find GCD of 652, 748, 902, 509?
You can find a detailed procedure to find GCD of 652, 748, 902, 509 on our page.
3. How to find GCD of 652, 748, 902, 509 on a calculator?
You can find the GCD of 652, 748, 902, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.