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, 569, 480, 187 i.e. 1 largest integer that divides all the numbers equally.
GCD of 550, 569, 480, 187 is 1
GCD(550, 569, 480, 187) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 550, 569, 480, 187 is 1
GCD(550, 569, 480, 187) = 1
Given Input numbers are 550, 569, 480, 187
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 569
List of positive integer divisors of 569 that divides 569 without a remainder.
1, 569
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 187
List of positive integer divisors of 187 that divides 187 without a remainder.
1, 11, 17, 187
Greatest Common Divisior
We found the divisors of 550, 569, 480, 187 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 569, 480, 187 is 1.
Therefore, GCD of numbers 550, 569, 480, 187 is 1
Given Input Data is 550, 569, 480, 187
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 569 is 569
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 187 is 11 x 17
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, 569) = 312950
GCD(550, 569) = ( 550 x 569 ) / 312950
GCD(550, 569) = 312950 / 312950
GCD(550, 569) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 480
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 480) = 480
GCD(1, 480) = ( 1 x 480 ) / 480
GCD(1, 480) = 480 / 480
GCD(1, 480) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 187
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 187) = 187
GCD(1, 187) = ( 1 x 187 ) / 187
GCD(1, 187) = 187 / 187
GCD(1, 187) = 1
GCD of 550, 569, 480, 187 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 550, 569, 480, 187?
GCD of 550, 569, 480, 187 is 1
2. Where do I get the detailed procedure to find GCD of 550, 569, 480, 187?
You can find a detailed procedure to find GCD of 550, 569, 480, 187 on our page.
3. How to find GCD of 550, 569, 480, 187 on a calculator?
You can find the GCD of 550, 569, 480, 187 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.