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 560, 121, 772, 521 i.e. 1 largest integer that divides all the numbers equally.
GCD of 560, 121, 772, 521 is 1
GCD(560, 121, 772, 521) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 560, 121, 772, 521 is 1
GCD(560, 121, 772, 521) = 1
Given Input numbers are 560, 121, 772, 521
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 560
List of positive integer divisors of 560 that divides 560 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Divisors of 521
List of positive integer divisors of 521 that divides 521 without a remainder.
1, 521
Greatest Common Divisior
We found the divisors of 560, 121, 772, 521 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 121, 772, 521 is 1.
Therefore, GCD of numbers 560, 121, 772, 521 is 1
Given Input Data is 560, 121, 772, 521
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
Prime Factorization of 121 is 11 x 11
Prime Factorization of 772 is 2 x 2 x 193
Prime Factorization of 521 is 521
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(560, 121) = 67760
GCD(560, 121) = ( 560 x 121 ) / 67760
GCD(560, 121) = 67760 / 67760
GCD(560, 121) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 772
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 772) = 772
GCD(1, 772) = ( 1 x 772 ) / 772
GCD(1, 772) = 772 / 772
GCD(1, 772) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 521
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 521) = 521
GCD(1, 521) = ( 1 x 521 ) / 521
GCD(1, 521) = 521 / 521
GCD(1, 521) = 1
GCD of 560, 121, 772, 521 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 560, 121, 772, 521?
GCD of 560, 121, 772, 521 is 1
2. Where do I get the detailed procedure to find GCD of 560, 121, 772, 521?
You can find a detailed procedure to find GCD of 560, 121, 772, 521 on our page.
3. How to find GCD of 560, 121, 772, 521 on a calculator?
You can find the GCD of 560, 121, 772, 521 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.