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 536, 742, 505, 806 i.e. 1 largest integer that divides all the numbers equally.
GCD of 536, 742, 505, 806 is 1
GCD(536, 742, 505, 806) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 536, 742, 505, 806 is 1
GCD(536, 742, 505, 806) = 1
Given Input numbers are 536, 742, 505, 806
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
Divisors of 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 505
List of positive integer divisors of 505 that divides 505 without a remainder.
1, 5, 101, 505
Divisors of 806
List of positive integer divisors of 806 that divides 806 without a remainder.
1, 2, 13, 26, 31, 62, 403, 806
Greatest Common Divisior
We found the divisors of 536, 742, 505, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 536, 742, 505, 806 is 1.
Therefore, GCD of numbers 536, 742, 505, 806 is 1
Given Input Data is 536, 742, 505, 806
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 536 is 2 x 2 x 2 x 67
Prime Factorization of 742 is 2 x 7 x 53
Prime Factorization of 505 is 5 x 101
Prime Factorization of 806 is 2 x 13 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(536, 742) = 198856
GCD(536, 742) = ( 536 x 742 ) / 198856
GCD(536, 742) = 397712 / 198856
GCD(536, 742) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 505
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 505) = 1010
GCD(2, 505) = ( 2 x 505 ) / 1010
GCD(2, 505) = 1010 / 1010
GCD(2, 505) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 806
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 806) = 806
GCD(1, 806) = ( 1 x 806 ) / 806
GCD(1, 806) = 806 / 806
GCD(1, 806) = 1
GCD of 536, 742, 505, 806 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 536, 742, 505, 806?
GCD of 536, 742, 505, 806 is 1
2. Where do I get the detailed procedure to find GCD of 536, 742, 505, 806?
You can find a detailed procedure to find GCD of 536, 742, 505, 806 on our page.
3. How to find GCD of 536, 742, 505, 806 on a calculator?
You can find the GCD of 536, 742, 505, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.