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, 977, 713, 560 i.e. 1 largest integer that divides all the numbers equally.
GCD of 11, 977, 713, 560 is 1
GCD(11, 977, 713, 560) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 11, 977, 713, 560 is 1
GCD(11, 977, 713, 560) = 1
Given Input numbers are 11, 977, 713, 560
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 977
List of positive integer divisors of 977 that divides 977 without a remainder.
1, 977
Divisors of 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
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
Greatest Common Divisior
We found the divisors of 11, 977, 713, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 11, 977, 713, 560 is 1.
Therefore, GCD of numbers 11, 977, 713, 560 is 1
Given Input Data is 11, 977, 713, 560
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 11 is 11
Prime Factorization of 977 is 977
Prime Factorization of 713 is 23 x 31
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
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, 977) = 10747
GCD(11, 977) = ( 11 x 977 ) / 10747
GCD(11, 977) = 10747 / 10747
GCD(11, 977) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 713
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 713) = 713
GCD(1, 713) = ( 1 x 713 ) / 713
GCD(1, 713) = 713 / 713
GCD(1, 713) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 560
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 560) = 560
GCD(1, 560) = ( 1 x 560 ) / 560
GCD(1, 560) = 560 / 560
GCD(1, 560) = 1
GCD of 11, 977, 713, 560 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 11, 977, 713, 560?
GCD of 11, 977, 713, 560 is 1
2. Where do I get the detailed procedure to find GCD of 11, 977, 713, 560?
You can find a detailed procedure to find GCD of 11, 977, 713, 560 on our page.
3. How to find GCD of 11, 977, 713, 560 on a calculator?
You can find the GCD of 11, 977, 713, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.