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 550, 959, 209, 203 i.e. 1 largest integer that divides all the numbers equally.
GCD of 550, 959, 209, 203 is 1
GCD(550, 959, 209, 203) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 550, 959, 209, 203 is 1
GCD(550, 959, 209, 203) = 1
Given Input numbers are 550, 959, 209, 203
To find the GCD of numbers using factoring list out all the divisors of each number
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 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Divisors of 209
List of positive integer divisors of 209 that divides 209 without a remainder.
1, 11, 19, 209
Divisors of 203
List of positive integer divisors of 203 that divides 203 without a remainder.
1, 7, 29, 203
Greatest Common Divisior
We found the divisors of 550, 959, 209, 203 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 959, 209, 203 is 1.
Therefore, GCD of numbers 550, 959, 209, 203 is 1
Given Input Data is 550, 959, 209, 203
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 550 is 2 x 5 x 5 x 11
Prime Factorization of 959 is 7 x 137
Prime Factorization of 209 is 11 x 19
Prime Factorization of 203 is 7 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(550, 959) = 527450
GCD(550, 959) = ( 550 x 959 ) / 527450
GCD(550, 959) = 527450 / 527450
GCD(550, 959) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 209
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 209) = 209
GCD(1, 209) = ( 1 x 209 ) / 209
GCD(1, 209) = 209 / 209
GCD(1, 209) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 203
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 203) = 203
GCD(1, 203) = ( 1 x 203 ) / 203
GCD(1, 203) = 203 / 203
GCD(1, 203) = 1
GCD of 550, 959, 209, 203 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 550, 959, 209, 203?
GCD of 550, 959, 209, 203 is 1
2. Where do I get the detailed procedure to find GCD of 550, 959, 209, 203?
You can find a detailed procedure to find GCD of 550, 959, 209, 203 on our page.
3. How to find GCD of 550, 959, 209, 203 on a calculator?
You can find the GCD of 550, 959, 209, 203 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.