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 45, 135, 718, 797 i.e. 1 largest integer that divides all the numbers equally.
GCD of 45, 135, 718, 797 is 1
GCD(45, 135, 718, 797) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 45, 135, 718, 797 is 1
GCD(45, 135, 718, 797) = 1
Given Input numbers are 45, 135, 718, 797
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 718
List of positive integer divisors of 718 that divides 718 without a remainder.
1, 2, 359, 718
Divisors of 797
List of positive integer divisors of 797 that divides 797 without a remainder.
1, 797
Greatest Common Divisior
We found the divisors of 45, 135, 718, 797 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 135, 718, 797 is 1.
Therefore, GCD of numbers 45, 135, 718, 797 is 1
Given Input Data is 45, 135, 718, 797
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 135 is 3 x 3 x 3 x 5
Prime Factorization of 718 is 2 x 359
Prime Factorization of 797 is 797
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(45, 135) = 135
GCD(45, 135) = ( 45 x 135 ) / 135
GCD(45, 135) = 6075 / 135
GCD(45, 135) = 45
Step2:
Here we consider the GCD from the above i.e. 45 as first number and the next as 718
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(45, 718) = 32310
GCD(45, 718) = ( 45 x 718 ) / 32310
GCD(45, 718) = 32310 / 32310
GCD(45, 718) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 797
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 797) = 797
GCD(1, 797) = ( 1 x 797 ) / 797
GCD(1, 797) = 797 / 797
GCD(1, 797) = 1
GCD of 45, 135, 718, 797 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 45, 135, 718, 797?
GCD of 45, 135, 718, 797 is 1
2. Where do I get the detailed procedure to find GCD of 45, 135, 718, 797?
You can find a detailed procedure to find GCD of 45, 135, 718, 797 on our page.
3. How to find GCD of 45, 135, 718, 797 on a calculator?
You can find the GCD of 45, 135, 718, 797 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.