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, 457, 810, 152 i.e. 1 largest integer that divides all the numbers equally.
GCD of 45, 457, 810, 152 is 1
GCD(45, 457, 810, 152) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 45, 457, 810, 152 is 1
GCD(45, 457, 810, 152) = 1
Given Input numbers are 45, 457, 810, 152
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 457
List of positive integer divisors of 457 that divides 457 without a remainder.
1, 457
Divisors of 810
List of positive integer divisors of 810 that divides 810 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Greatest Common Divisior
We found the divisors of 45, 457, 810, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 457, 810, 152 is 1.
Therefore, GCD of numbers 45, 457, 810, 152 is 1
Given Input Data is 45, 457, 810, 152
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 457 is 457
Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5
Prime Factorization of 152 is 2 x 2 x 2 x 19
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, 457) = 20565
GCD(45, 457) = ( 45 x 457 ) / 20565
GCD(45, 457) = 20565 / 20565
GCD(45, 457) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 810
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 810) = 810
GCD(1, 810) = ( 1 x 810 ) / 810
GCD(1, 810) = 810 / 810
GCD(1, 810) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 152
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 152) = 152
GCD(1, 152) = ( 1 x 152 ) / 152
GCD(1, 152) = 152 / 152
GCD(1, 152) = 1
GCD of 45, 457, 810, 152 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 45, 457, 810, 152?
GCD of 45, 457, 810, 152 is 1
2. Where do I get the detailed procedure to find GCD of 45, 457, 810, 152?
You can find a detailed procedure to find GCD of 45, 457, 810, 152 on our page.
3. How to find GCD of 45, 457, 810, 152 on a calculator?
You can find the GCD of 45, 457, 810, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.