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 200, 600, 501, 950 i.e. 1 largest integer that divides all the numbers equally.
GCD of 200, 600, 501, 950 is 1
GCD(200, 600, 501, 950) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 200, 600, 501, 950 is 1
GCD(200, 600, 501, 950) = 1
Given Input numbers are 200, 600, 501, 950
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 200
List of positive integer divisors of 200 that divides 200 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Divisors of 950
List of positive integer divisors of 950 that divides 950 without a remainder.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
Greatest Common Divisior
We found the divisors of 200, 600, 501, 950 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 600, 501, 950 is 1.
Therefore, GCD of numbers 200, 600, 501, 950 is 1
Given Input Data is 200, 600, 501, 950
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 501 is 3 x 167
Prime Factorization of 950 is 2 x 5 x 5 x 19
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(200, 600) = 600
GCD(200, 600) = ( 200 x 600 ) / 600
GCD(200, 600) = 120000 / 600
GCD(200, 600) = 200
Step2:
Here we consider the GCD from the above i.e. 200 as first number and the next as 501
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(200, 501) = 100200
GCD(200, 501) = ( 200 x 501 ) / 100200
GCD(200, 501) = 100200 / 100200
GCD(200, 501) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 950
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 950) = 950
GCD(1, 950) = ( 1 x 950 ) / 950
GCD(1, 950) = 950 / 950
GCD(1, 950) = 1
GCD of 200, 600, 501, 950 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 200, 600, 501, 950?
GCD of 200, 600, 501, 950 is 1
2. Where do I get the detailed procedure to find GCD of 200, 600, 501, 950?
You can find a detailed procedure to find GCD of 200, 600, 501, 950 on our page.
3. How to find GCD of 200, 600, 501, 950 on a calculator?
You can find the GCD of 200, 600, 501, 950 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.