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 203, 308, 550, 892 i.e. 1 largest integer that divides all the numbers equally.
GCD of 203, 308, 550, 892 is 1
GCD(203, 308, 550, 892) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 203, 308, 550, 892 is 1
GCD(203, 308, 550, 892) = 1
Given Input numbers are 203, 308, 550, 892
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 203
List of positive integer divisors of 203 that divides 203 without a remainder.
1, 7, 29, 203
Divisors of 308
List of positive integer divisors of 308 that divides 308 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 550
List of positive integer divisors of 550 that divides 550 without a remainder.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 892
List of positive integer divisors of 892 that divides 892 without a remainder.
1, 2, 4, 223, 446, 892
Greatest Common Divisior
We found the divisors of 203, 308, 550, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 203, 308, 550, 892 is 1.
Therefore, GCD of numbers 203, 308, 550, 892 is 1
Given Input Data is 203, 308, 550, 892
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 203 is 7 x 29
Prime Factorization of 308 is 2 x 2 x 7 x 11
Prime Factorization of 550 is 2 x 5 x 5 x 11
Prime Factorization of 892 is 2 x 2 x 223
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(203, 308) = 8932
GCD(203, 308) = ( 203 x 308 ) / 8932
GCD(203, 308) = 62524 / 8932
GCD(203, 308) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 550
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 550) = 3850
GCD(7, 550) = ( 7 x 550 ) / 3850
GCD(7, 550) = 3850 / 3850
GCD(7, 550) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 892
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 892) = 892
GCD(1, 892) = ( 1 x 892 ) / 892
GCD(1, 892) = 892 / 892
GCD(1, 892) = 1
GCD of 203, 308, 550, 892 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 203, 308, 550, 892?
GCD of 203, 308, 550, 892 is 1
2. Where do I get the detailed procedure to find GCD of 203, 308, 550, 892?
You can find a detailed procedure to find GCD of 203, 308, 550, 892 on our page.
3. How to find GCD of 203, 308, 550, 892 on a calculator?
You can find the GCD of 203, 308, 550, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.