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 426, 243, 845, 537 i.e. 1 largest integer that divides all the numbers equally.
GCD of 426, 243, 845, 537 is 1
GCD(426, 243, 845, 537) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 426, 243, 845, 537 is 1
GCD(426, 243, 845, 537) = 1
Given Input numbers are 426, 243, 845, 537
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Divisors of 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Greatest Common Divisior
We found the divisors of 426, 243, 845, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 243, 845, 537 is 1.
Therefore, GCD of numbers 426, 243, 845, 537 is 1
Given Input Data is 426, 243, 845, 537
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 426 is 2 x 3 x 71
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
Prime Factorization of 845 is 5 x 13 x 13
Prime Factorization of 537 is 3 x 179
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(426, 243) = 34506
GCD(426, 243) = ( 426 x 243 ) / 34506
GCD(426, 243) = 103518 / 34506
GCD(426, 243) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 845
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 845) = 2535
GCD(3, 845) = ( 3 x 845 ) / 2535
GCD(3, 845) = 2535 / 2535
GCD(3, 845) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 537
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 537) = 537
GCD(1, 537) = ( 1 x 537 ) / 537
GCD(1, 537) = 537 / 537
GCD(1, 537) = 1
GCD of 426, 243, 845, 537 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 426, 243, 845, 537?
GCD of 426, 243, 845, 537 is 1
2. Where do I get the detailed procedure to find GCD of 426, 243, 845, 537?
You can find a detailed procedure to find GCD of 426, 243, 845, 537 on our page.
3. How to find GCD of 426, 243, 845, 537 on a calculator?
You can find the GCD of 426, 243, 845, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.