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 11, 460, 554, 960 i.e. 1 largest integer that divides all the numbers equally.
GCD of 11, 460, 554, 960 is 1
GCD(11, 460, 554, 960) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 11, 460, 554, 960 is 1
GCD(11, 460, 554, 960) = 1
Given Input numbers are 11, 460, 554, 960
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 554
List of positive integer divisors of 554 that divides 554 without a remainder.
1, 2, 277, 554
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 11, 460, 554, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 11, 460, 554, 960 is 1.
Therefore, GCD of numbers 11, 460, 554, 960 is 1
Given Input Data is 11, 460, 554, 960
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 11 is 11
Prime Factorization of 460 is 2 x 2 x 5 x 23
Prime Factorization of 554 is 2 x 277
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(11, 460) = 5060
GCD(11, 460) = ( 11 x 460 ) / 5060
GCD(11, 460) = 5060 / 5060
GCD(11, 460) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 554
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 554) = 554
GCD(1, 554) = ( 1 x 554 ) / 554
GCD(1, 554) = 554 / 554
GCD(1, 554) = 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 11, 460, 554, 960 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 11, 460, 554, 960?
GCD of 11, 460, 554, 960 is 1
2. Where do I get the detailed procedure to find GCD of 11, 460, 554, 960?
You can find a detailed procedure to find GCD of 11, 460, 554, 960 on our page.
3. How to find GCD of 11, 460, 554, 960 on a calculator?
You can find the GCD of 11, 460, 554, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.