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 756, 622, 18, 243 i.e. 1 largest integer that divides all the numbers equally.
GCD of 756, 622, 18, 243 is 1
GCD(756, 622, 18, 243) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 756, 622, 18, 243 is 1
GCD(756, 622, 18, 243) = 1
Given Input numbers are 756, 622, 18, 243
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 756
List of positive integer divisors of 756 that divides 756 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 622
List of positive integer divisors of 622 that divides 622 without a remainder.
1, 2, 311, 622
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Greatest Common Divisior
We found the divisors of 756, 622, 18, 243 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 622, 18, 243 is 1.
Therefore, GCD of numbers 756, 622, 18, 243 is 1
Given Input Data is 756, 622, 18, 243
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7
Prime Factorization of 622 is 2 x 311
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
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(756, 622) = 235116
GCD(756, 622) = ( 756 x 622 ) / 235116
GCD(756, 622) = 470232 / 235116
GCD(756, 622) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 18) = 18
GCD(2, 18) = ( 2 x 18 ) / 18
GCD(2, 18) = 36 / 18
GCD(2, 18) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 243
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 243) = 486
GCD(2, 243) = ( 2 x 243 ) / 486
GCD(2, 243) = 486 / 486
GCD(2, 243) = 1
GCD of 756, 622, 18, 243 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 756, 622, 18, 243?
GCD of 756, 622, 18, 243 is 1
2. Where do I get the detailed procedure to find GCD of 756, 622, 18, 243?
You can find a detailed procedure to find GCD of 756, 622, 18, 243 on our page.
3. How to find GCD of 756, 622, 18, 243 on a calculator?
You can find the GCD of 756, 622, 18, 243 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.