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, 540, 47, 848 i.e. 1 largest integer that divides all the numbers equally.
GCD of 565, 540, 47, 848 is 1
GCD(565, 540, 47, 848) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 565, 540, 47, 848 is 1
GCD(565, 540, 47, 848) = 1
Given Input numbers are 565, 540, 47, 848
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 540
List of positive integer divisors of 540 that divides 540 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 848
List of positive integer divisors of 848 that divides 848 without a remainder.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Greatest Common Divisior
We found the divisors of 565, 540, 47, 848 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 565, 540, 47, 848 is 1.
Therefore, GCD of numbers 565, 540, 47, 848 is 1
Given Input Data is 565, 540, 47, 848
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 565 is 5 x 113
Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5
Prime Factorization of 47 is 47
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
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, 540) = 61020
GCD(565, 540) = ( 565 x 540 ) / 61020
GCD(565, 540) = 305100 / 61020
GCD(565, 540) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 47) = 235
GCD(5, 47) = ( 5 x 47 ) / 235
GCD(5, 47) = 235 / 235
GCD(5, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 848
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 848) = 848
GCD(1, 848) = ( 1 x 848 ) / 848
GCD(1, 848) = 848 / 848
GCD(1, 848) = 1
GCD of 565, 540, 47, 848 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 565, 540, 47, 848?
GCD of 565, 540, 47, 848 is 1
2. Where do I get the detailed procedure to find GCD of 565, 540, 47, 848?
You can find a detailed procedure to find GCD of 565, 540, 47, 848 on our page.
3. How to find GCD of 565, 540, 47, 848 on a calculator?
You can find the GCD of 565, 540, 47, 848 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.