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 213, 393, 157, 501 i.e. 1 largest integer that divides all the numbers equally.
GCD of 213, 393, 157, 501 is 1
GCD(213, 393, 157, 501) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 213, 393, 157, 501 is 1
GCD(213, 393, 157, 501) = 1
Given Input numbers are 213, 393, 157, 501
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 213
List of positive integer divisors of 213 that divides 213 without a remainder.
1, 3, 71, 213
Divisors of 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Divisors of 157
List of positive integer divisors of 157 that divides 157 without a remainder.
1, 157
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Greatest Common Divisior
We found the divisors of 213, 393, 157, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 393, 157, 501 is 1.
Therefore, GCD of numbers 213, 393, 157, 501 is 1
Given Input Data is 213, 393, 157, 501
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 213 is 3 x 71
Prime Factorization of 393 is 3 x 131
Prime Factorization of 157 is 157
Prime Factorization of 501 is 3 x 167
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(213, 393) = 27903
GCD(213, 393) = ( 213 x 393 ) / 27903
GCD(213, 393) = 83709 / 27903
GCD(213, 393) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 157
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 157) = 471
GCD(3, 157) = ( 3 x 157 ) / 471
GCD(3, 157) = 471 / 471
GCD(3, 157) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 501
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 501) = 501
GCD(1, 501) = ( 1 x 501 ) / 501
GCD(1, 501) = 501 / 501
GCD(1, 501) = 1
GCD of 213, 393, 157, 501 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 213, 393, 157, 501?
GCD of 213, 393, 157, 501 is 1
2. Where do I get the detailed procedure to find GCD of 213, 393, 157, 501?
You can find a detailed procedure to find GCD of 213, 393, 157, 501 on our page.
3. How to find GCD of 213, 393, 157, 501 on a calculator?
You can find the GCD of 213, 393, 157, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.