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 491, 769, 566, 560 i.e. 1 largest integer that divides all the numbers equally.
GCD of 491, 769, 566, 560 is 1
GCD(491, 769, 566, 560) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 491, 769, 566, 560 is 1
GCD(491, 769, 566, 560) = 1
Given Input numbers are 491, 769, 566, 560
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Divisors of 769
List of positive integer divisors of 769 that divides 769 without a remainder.
1, 769
Divisors of 566
List of positive integer divisors of 566 that divides 566 without a remainder.
1, 2, 283, 566
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 491, 769, 566, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 491, 769, 566, 560 is 1.
Therefore, GCD of numbers 491, 769, 566, 560 is 1
Given Input Data is 491, 769, 566, 560
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 491 is 491
Prime Factorization of 769 is 769
Prime Factorization of 566 is 2 x 283
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(491, 769) = 377579
GCD(491, 769) = ( 491 x 769 ) / 377579
GCD(491, 769) = 377579 / 377579
GCD(491, 769) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 566
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 566) = 566
GCD(1, 566) = ( 1 x 566 ) / 566
GCD(1, 566) = 566 / 566
GCD(1, 566) = 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 491, 769, 566, 560 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 491, 769, 566, 560?
GCD of 491, 769, 566, 560 is 1
2. Where do I get the detailed procedure to find GCD of 491, 769, 566, 560?
You can find a detailed procedure to find GCD of 491, 769, 566, 560 on our page.
3. How to find GCD of 491, 769, 566, 560 on a calculator?
You can find the GCD of 491, 769, 566, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.