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 702, 303, 217, 523 i.e. 1 largest integer that divides all the numbers equally.
GCD of 702, 303, 217, 523 is 1
GCD(702, 303, 217, 523) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 702, 303, 217, 523 is 1
GCD(702, 303, 217, 523) = 1
Given Input numbers are 702, 303, 217, 523
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 303
List of positive integer divisors of 303 that divides 303 without a remainder.
1, 3, 101, 303
Divisors of 217
List of positive integer divisors of 217 that divides 217 without a remainder.
1, 7, 31, 217
Divisors of 523
List of positive integer divisors of 523 that divides 523 without a remainder.
1, 523
Greatest Common Divisior
We found the divisors of 702, 303, 217, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 702, 303, 217, 523 is 1.
Therefore, GCD of numbers 702, 303, 217, 523 is 1
Given Input Data is 702, 303, 217, 523
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
Prime Factorization of 303 is 3 x 101
Prime Factorization of 217 is 7 x 31
Prime Factorization of 523 is 523
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(702, 303) = 70902
GCD(702, 303) = ( 702 x 303 ) / 70902
GCD(702, 303) = 212706 / 70902
GCD(702, 303) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 217
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 217) = 651
GCD(3, 217) = ( 3 x 217 ) / 651
GCD(3, 217) = 651 / 651
GCD(3, 217) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 523
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 523) = 523
GCD(1, 523) = ( 1 x 523 ) / 523
GCD(1, 523) = 523 / 523
GCD(1, 523) = 1
GCD of 702, 303, 217, 523 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 702, 303, 217, 523?
GCD of 702, 303, 217, 523 is 1
2. Where do I get the detailed procedure to find GCD of 702, 303, 217, 523?
You can find a detailed procedure to find GCD of 702, 303, 217, 523 on our page.
3. How to find GCD of 702, 303, 217, 523 on a calculator?
You can find the GCD of 702, 303, 217, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.