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, 709, 518, 901 i.e. 1 largest integer that divides all the numbers equally.
GCD of 550, 709, 518, 901 is 1
GCD(550, 709, 518, 901) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 550, 709, 518, 901 is 1
GCD(550, 709, 518, 901) = 1
Given Input numbers are 550, 709, 518, 901
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 709
List of positive integer divisors of 709 that divides 709 without a remainder.
1, 709
Divisors of 518
List of positive integer divisors of 518 that divides 518 without a remainder.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Greatest Common Divisior
We found the divisors of 550, 709, 518, 901 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 709, 518, 901 is 1.
Therefore, GCD of numbers 550, 709, 518, 901 is 1
Given Input Data is 550, 709, 518, 901
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 709 is 709
Prime Factorization of 518 is 2 x 7 x 37
Prime Factorization of 901 is 17 x 53
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, 709) = 389950
GCD(550, 709) = ( 550 x 709 ) / 389950
GCD(550, 709) = 389950 / 389950
GCD(550, 709) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 518
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 518) = 518
GCD(1, 518) = ( 1 x 518 ) / 518
GCD(1, 518) = 518 / 518
GCD(1, 518) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 901
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 901) = 901
GCD(1, 901) = ( 1 x 901 ) / 901
GCD(1, 901) = 901 / 901
GCD(1, 901) = 1
GCD of 550, 709, 518, 901 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 550, 709, 518, 901?
GCD of 550, 709, 518, 901 is 1
2. Where do I get the detailed procedure to find GCD of 550, 709, 518, 901?
You can find a detailed procedure to find GCD of 550, 709, 518, 901 on our page.
3. How to find GCD of 550, 709, 518, 901 on a calculator?
You can find the GCD of 550, 709, 518, 901 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.