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, 221, 689, 960 i.e. 1 largest integer that divides all the numbers equally.
GCD of 550, 221, 689, 960 is 1
GCD(550, 221, 689, 960) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 550, 221, 689, 960 is 1
GCD(550, 221, 689, 960) = 1
Given Input numbers are 550, 221, 689, 960
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 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Divisors of 960
List of positive integer divisors of 960 that divides 960 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Greatest Common Divisior
We found the divisors of 550, 221, 689, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 221, 689, 960 is 1.
Therefore, GCD of numbers 550, 221, 689, 960 is 1
Given Input Data is 550, 221, 689, 960
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 221 is 13 x 17
Prime Factorization of 689 is 13 x 53
Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
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, 221) = 121550
GCD(550, 221) = ( 550 x 221 ) / 121550
GCD(550, 221) = 121550 / 121550
GCD(550, 221) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 689
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 689) = 689
GCD(1, 689) = ( 1 x 689 ) / 689
GCD(1, 689) = 689 / 689
GCD(1, 689) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 960
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 960) = 960
GCD(1, 960) = ( 1 x 960 ) / 960
GCD(1, 960) = 960 / 960
GCD(1, 960) = 1
GCD of 550, 221, 689, 960 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 550, 221, 689, 960?
GCD of 550, 221, 689, 960 is 1
2. Where do I get the detailed procedure to find GCD of 550, 221, 689, 960?
You can find a detailed procedure to find GCD of 550, 221, 689, 960 on our page.
3. How to find GCD of 550, 221, 689, 960 on a calculator?
You can find the GCD of 550, 221, 689, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.