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 50, 344, 620, 533 i.e. 1 largest integer that divides all the numbers equally.
GCD of 50, 344, 620, 533 is 1
GCD(50, 344, 620, 533) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 50, 344, 620, 533 is 1
GCD(50, 344, 620, 533) = 1
Given Input numbers are 50, 344, 620, 533
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 344
List of positive integer divisors of 344 that divides 344 without a remainder.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 620
List of positive integer divisors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Divisors of 533
List of positive integer divisors of 533 that divides 533 without a remainder.
1, 13, 41, 533
Greatest Common Divisior
We found the divisors of 50, 344, 620, 533 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 344, 620, 533 is 1.
Therefore, GCD of numbers 50, 344, 620, 533 is 1
Given Input Data is 50, 344, 620, 533
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 344 is 2 x 2 x 2 x 43
Prime Factorization of 620 is 2 x 2 x 5 x 31
Prime Factorization of 533 is 13 x 41
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(50, 344) = 8600
GCD(50, 344) = ( 50 x 344 ) / 8600
GCD(50, 344) = 17200 / 8600
GCD(50, 344) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 620
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 620) = 620
GCD(2, 620) = ( 2 x 620 ) / 620
GCD(2, 620) = 1240 / 620
GCD(2, 620) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 533
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 533) = 1066
GCD(2, 533) = ( 2 x 533 ) / 1066
GCD(2, 533) = 1066 / 1066
GCD(2, 533) = 1
GCD of 50, 344, 620, 533 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 50, 344, 620, 533?
GCD of 50, 344, 620, 533 is 1
2. Where do I get the detailed procedure to find GCD of 50, 344, 620, 533?
You can find a detailed procedure to find GCD of 50, 344, 620, 533 on our page.
3. How to find GCD of 50, 344, 620, 533 on a calculator?
You can find the GCD of 50, 344, 620, 533 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.