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 502, 697, 142, 181 i.e. 1 largest integer that divides all the numbers equally.
GCD of 502, 697, 142, 181 is 1
GCD(502, 697, 142, 181) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 502, 697, 142, 181 is 1
GCD(502, 697, 142, 181) = 1
Given Input numbers are 502, 697, 142, 181
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 502
List of positive integer divisors of 502 that divides 502 without a remainder.
1, 2, 251, 502
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 181
List of positive integer divisors of 181 that divides 181 without a remainder.
1, 181
Greatest Common Divisior
We found the divisors of 502, 697, 142, 181 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 502, 697, 142, 181 is 1.
Therefore, GCD of numbers 502, 697, 142, 181 is 1
Given Input Data is 502, 697, 142, 181
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 502 is 2 x 251
Prime Factorization of 697 is 17 x 41
Prime Factorization of 142 is 2 x 71
Prime Factorization of 181 is 181
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(502, 697) = 349894
GCD(502, 697) = ( 502 x 697 ) / 349894
GCD(502, 697) = 349894 / 349894
GCD(502, 697) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 142
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
GCD(1, 142) = 142 / 142
GCD(1, 142) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 181
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 181) = 181
GCD(1, 181) = ( 1 x 181 ) / 181
GCD(1, 181) = 181 / 181
GCD(1, 181) = 1
GCD of 502, 697, 142, 181 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 502, 697, 142, 181?
GCD of 502, 697, 142, 181 is 1
2. Where do I get the detailed procedure to find GCD of 502, 697, 142, 181?
You can find a detailed procedure to find GCD of 502, 697, 142, 181 on our page.
3. How to find GCD of 502, 697, 142, 181 on a calculator?
You can find the GCD of 502, 697, 142, 181 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.