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, 201, 643, 343 i.e. 1 largest integer that divides all the numbers equally.
GCD of 50, 201, 643, 343 is 1
GCD(50, 201, 643, 343) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 50, 201, 643, 343 is 1
GCD(50, 201, 643, 343) = 1
Given Input numbers are 50, 201, 643, 343
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 201
List of positive integer divisors of 201 that divides 201 without a remainder.
1, 3, 67, 201
Divisors of 643
List of positive integer divisors of 643 that divides 643 without a remainder.
1, 643
Divisors of 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Greatest Common Divisior
We found the divisors of 50, 201, 643, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 201, 643, 343 is 1.
Therefore, GCD of numbers 50, 201, 643, 343 is 1
Given Input Data is 50, 201, 643, 343
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 201 is 3 x 67
Prime Factorization of 643 is 643
Prime Factorization of 343 is 7 x 7 x 7
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, 201) = 10050
GCD(50, 201) = ( 50 x 201 ) / 10050
GCD(50, 201) = 10050 / 10050
GCD(50, 201) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 643
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 643) = 643
GCD(1, 643) = ( 1 x 643 ) / 643
GCD(1, 643) = 643 / 643
GCD(1, 643) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 343
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 343) = 343
GCD(1, 343) = ( 1 x 343 ) / 343
GCD(1, 343) = 343 / 343
GCD(1, 343) = 1
GCD of 50, 201, 643, 343 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 50, 201, 643, 343?
GCD of 50, 201, 643, 343 is 1
2. Where do I get the detailed procedure to find GCD of 50, 201, 643, 343?
You can find a detailed procedure to find GCD of 50, 201, 643, 343 on our page.
3. How to find GCD of 50, 201, 643, 343 on a calculator?
You can find the GCD of 50, 201, 643, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.