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 56, 605, 755, 756 i.e. 1 largest integer that divides all the numbers equally.
GCD of 56, 605, 755, 756 is 1
GCD(56, 605, 755, 756) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 56, 605, 755, 756 is 1
GCD(56, 605, 755, 756) = 1
Given Input numbers are 56, 605, 755, 756
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Divisors of 605
List of positive integer divisors of 605 that divides 605 without a remainder.
1, 5, 11, 55, 121, 605
Divisors of 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
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 56, 605, 755, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 605, 755, 756 is 1.
Therefore, GCD of numbers 56, 605, 755, 756 is 1
Given Input Data is 56, 605, 755, 756
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 56 is 2 x 2 x 2 x 7
Prime Factorization of 605 is 5 x 11 x 11
Prime Factorization of 755 is 5 x 151
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(56, 605) = 33880
GCD(56, 605) = ( 56 x 605 ) / 33880
GCD(56, 605) = 33880 / 33880
GCD(56, 605) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 755
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 755) = 755
GCD(1, 755) = ( 1 x 755 ) / 755
GCD(1, 755) = 755 / 755
GCD(1, 755) = 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 56, 605, 755, 756 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 56, 605, 755, 756?
GCD of 56, 605, 755, 756 is 1
2. Where do I get the detailed procedure to find GCD of 56, 605, 755, 756?
You can find a detailed procedure to find GCD of 56, 605, 755, 756 on our page.
3. How to find GCD of 56, 605, 755, 756 on a calculator?
You can find the GCD of 56, 605, 755, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.