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 565, 807, 40, 956 i.e. 1 largest integer that divides all the numbers equally.
GCD of 565, 807, 40, 956 is 1
GCD(565, 807, 40, 956) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 565, 807, 40, 956 is 1
GCD(565, 807, 40, 956) = 1
Given Input numbers are 565, 807, 40, 956
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 565
List of positive integer divisors of 565 that divides 565 without a remainder.
1, 5, 113, 565
Divisors of 807
List of positive integer divisors of 807 that divides 807 without a remainder.
1, 3, 269, 807
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 956
List of positive integer divisors of 956 that divides 956 without a remainder.
1, 2, 4, 239, 478, 956
Greatest Common Divisior
We found the divisors of 565, 807, 40, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 565, 807, 40, 956 is 1.
Therefore, GCD of numbers 565, 807, 40, 956 is 1
Given Input Data is 565, 807, 40, 956
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 565 is 5 x 113
Prime Factorization of 807 is 3 x 269
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 956 is 2 x 2 x 239
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(565, 807) = 455955
GCD(565, 807) = ( 565 x 807 ) / 455955
GCD(565, 807) = 455955 / 455955
GCD(565, 807) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 40) = 40
GCD(1, 40) = ( 1 x 40 ) / 40
GCD(1, 40) = 40 / 40
GCD(1, 40) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 956
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 956) = 956
GCD(1, 956) = ( 1 x 956 ) / 956
GCD(1, 956) = 956 / 956
GCD(1, 956) = 1
GCD of 565, 807, 40, 956 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 565, 807, 40, 956?
GCD of 565, 807, 40, 956 is 1
2. Where do I get the detailed procedure to find GCD of 565, 807, 40, 956?
You can find a detailed procedure to find GCD of 565, 807, 40, 956 on our page.
3. How to find GCD of 565, 807, 40, 956 on a calculator?
You can find the GCD of 565, 807, 40, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.