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 361, 125, 209, 551 i.e. 1 largest integer that divides all the numbers equally.
GCD of 361, 125, 209, 551 is 1
GCD(361, 125, 209, 551) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 361, 125, 209, 551 is 1
GCD(361, 125, 209, 551) = 1
Given Input numbers are 361, 125, 209, 551
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Divisors of 209
List of positive integer divisors of 209 that divides 209 without a remainder.
1, 11, 19, 209
Divisors of 551
List of positive integer divisors of 551 that divides 551 without a remainder.
1, 19, 29, 551
Greatest Common Divisior
We found the divisors of 361, 125, 209, 551 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 125, 209, 551 is 1.
Therefore, GCD of numbers 361, 125, 209, 551 is 1
Given Input Data is 361, 125, 209, 551
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 361 is 19 x 19
Prime Factorization of 125 is 5 x 5 x 5
Prime Factorization of 209 is 11 x 19
Prime Factorization of 551 is 19 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(361, 125) = 45125
GCD(361, 125) = ( 361 x 125 ) / 45125
GCD(361, 125) = 45125 / 45125
GCD(361, 125) = 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 551
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 551) = 551
GCD(1, 551) = ( 1 x 551 ) / 551
GCD(1, 551) = 551 / 551
GCD(1, 551) = 1
GCD of 361, 125, 209, 551 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 361, 125, 209, 551?
GCD of 361, 125, 209, 551 is 1
2. Where do I get the detailed procedure to find GCD of 361, 125, 209, 551?
You can find a detailed procedure to find GCD of 361, 125, 209, 551 on our page.
3. How to find GCD of 361, 125, 209, 551 on a calculator?
You can find the GCD of 361, 125, 209, 551 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.