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 46, 613, 242, 756 i.e. 1 largest integer that divides all the numbers equally.
GCD of 46, 613, 242, 756 is 1
GCD(46, 613, 242, 756) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 46, 613, 242, 756 is 1
GCD(46, 613, 242, 756) = 1
Given Input numbers are 46, 613, 242, 756
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 613
List of positive integer divisors of 613 that divides 613 without a remainder.
1, 613
Divisors of 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
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
Greatest Common Divisior
We found the divisors of 46, 613, 242, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 613, 242, 756 is 1.
Therefore, GCD of numbers 46, 613, 242, 756 is 1
Given Input Data is 46, 613, 242, 756
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 46 is 2 x 23
Prime Factorization of 613 is 613
Prime Factorization of 242 is 2 x 11 x 11
Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7
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(46, 613) = 28198
GCD(46, 613) = ( 46 x 613 ) / 28198
GCD(46, 613) = 28198 / 28198
GCD(46, 613) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 242
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 242) = 242
GCD(1, 242) = ( 1 x 242 ) / 242
GCD(1, 242) = 242 / 242
GCD(1, 242) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 756
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 756) = 756
GCD(1, 756) = ( 1 x 756 ) / 756
GCD(1, 756) = 756 / 756
GCD(1, 756) = 1
GCD of 46, 613, 242, 756 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 46, 613, 242, 756?
GCD of 46, 613, 242, 756 is 1
2. Where do I get the detailed procedure to find GCD of 46, 613, 242, 756?
You can find a detailed procedure to find GCD of 46, 613, 242, 756 on our page.
3. How to find GCD of 46, 613, 242, 756 on a calculator?
You can find the GCD of 46, 613, 242, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.