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 787, 155, 43, 540 i.e. 1 largest integer that divides all the numbers equally.
GCD of 787, 155, 43, 540 is 1
GCD(787, 155, 43, 540) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 787, 155, 43, 540 is 1
GCD(787, 155, 43, 540) = 1
Given Input numbers are 787, 155, 43, 540
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 787
List of positive integer divisors of 787 that divides 787 without a remainder.
1, 787
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
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
Greatest Common Divisior
We found the divisors of 787, 155, 43, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 787, 155, 43, 540 is 1.
Therefore, GCD of numbers 787, 155, 43, 540 is 1
Given Input Data is 787, 155, 43, 540
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 787 is 787
Prime Factorization of 155 is 5 x 31
Prime Factorization of 43 is 43
Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5
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(787, 155) = 121985
GCD(787, 155) = ( 787 x 155 ) / 121985
GCD(787, 155) = 121985 / 121985
GCD(787, 155) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 43) = 43
GCD(1, 43) = ( 1 x 43 ) / 43
GCD(1, 43) = 43 / 43
GCD(1, 43) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 540
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 540) = 540
GCD(1, 540) = ( 1 x 540 ) / 540
GCD(1, 540) = 540 / 540
GCD(1, 540) = 1
GCD of 787, 155, 43, 540 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 787, 155, 43, 540?
GCD of 787, 155, 43, 540 is 1
2. Where do I get the detailed procedure to find GCD of 787, 155, 43, 540?
You can find a detailed procedure to find GCD of 787, 155, 43, 540 on our page.
3. How to find GCD of 787, 155, 43, 540 on a calculator?
You can find the GCD of 787, 155, 43, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.