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 796, 540, 25, 496 i.e. 1 largest integer that divides all the numbers equally.
GCD of 796, 540, 25, 496 is 1
GCD(796, 540, 25, 496) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 796, 540, 25, 496 is 1
GCD(796, 540, 25, 496) = 1
Given Input numbers are 796, 540, 25, 496
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 796
List of positive integer divisors of 796 that divides 796 without a remainder.
1, 2, 4, 199, 398, 796
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 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Greatest Common Divisior
We found the divisors of 796, 540, 25, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 796, 540, 25, 496 is 1.
Therefore, GCD of numbers 796, 540, 25, 496 is 1
Given Input Data is 796, 540, 25, 496
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 796 is 2 x 2 x 199
Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5
Prime Factorization of 25 is 5 x 5
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
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(796, 540) = 107460
GCD(796, 540) = ( 796 x 540 ) / 107460
GCD(796, 540) = 429840 / 107460
GCD(796, 540) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 25) = 100
GCD(4, 25) = ( 4 x 25 ) / 100
GCD(4, 25) = 100 / 100
GCD(4, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 496
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 496) = 496
GCD(1, 496) = ( 1 x 496 ) / 496
GCD(1, 496) = 496 / 496
GCD(1, 496) = 1
GCD of 796, 540, 25, 496 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 796, 540, 25, 496?
GCD of 796, 540, 25, 496 is 1
2. Where do I get the detailed procedure to find GCD of 796, 540, 25, 496?
You can find a detailed procedure to find GCD of 796, 540, 25, 496 on our page.
3. How to find GCD of 796, 540, 25, 496 on a calculator?
You can find the GCD of 796, 540, 25, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.