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 503, 150, 58, 841 i.e. 1 largest integer that divides all the numbers equally.
GCD of 503, 150, 58, 841 is 1
GCD(503, 150, 58, 841) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 503, 150, 58, 841 is 1
GCD(503, 150, 58, 841) = 1
Given Input numbers are 503, 150, 58, 841
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 503
List of positive integer divisors of 503 that divides 503 without a remainder.
1, 503
Divisors of 150
List of positive integer divisors of 150 that divides 150 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 841
List of positive integer divisors of 841 that divides 841 without a remainder.
1, 29, 841
Greatest Common Divisior
We found the divisors of 503, 150, 58, 841 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 503, 150, 58, 841 is 1.
Therefore, GCD of numbers 503, 150, 58, 841 is 1
Given Input Data is 503, 150, 58, 841
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 503 is 503
Prime Factorization of 150 is 2 x 3 x 5 x 5
Prime Factorization of 58 is 2 x 29
Prime Factorization of 841 is 29 x 29
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(503, 150) = 75450
GCD(503, 150) = ( 503 x 150 ) / 75450
GCD(503, 150) = 75450 / 75450
GCD(503, 150) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 58) = 58
GCD(1, 58) = ( 1 x 58 ) / 58
GCD(1, 58) = 58 / 58
GCD(1, 58) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 841
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 841) = 841
GCD(1, 841) = ( 1 x 841 ) / 841
GCD(1, 841) = 841 / 841
GCD(1, 841) = 1
GCD of 503, 150, 58, 841 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 503, 150, 58, 841?
GCD of 503, 150, 58, 841 is 1
2. Where do I get the detailed procedure to find GCD of 503, 150, 58, 841?
You can find a detailed procedure to find GCD of 503, 150, 58, 841 on our page.
3. How to find GCD of 503, 150, 58, 841 on a calculator?
You can find the GCD of 503, 150, 58, 841 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.