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 153, 451, 825, 383 i.e. 1 largest integer that divides all the numbers equally.
GCD of 153, 451, 825, 383 is 1
GCD(153, 451, 825, 383) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 153, 451, 825, 383 is 1
GCD(153, 451, 825, 383) = 1
Given Input numbers are 153, 451, 825, 383
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Divisors of 451
List of positive integer divisors of 451 that divides 451 without a remainder.
1, 11, 41, 451
Divisors of 825
List of positive integer divisors of 825 that divides 825 without a remainder.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 383
List of positive integer divisors of 383 that divides 383 without a remainder.
1, 383
Greatest Common Divisior
We found the divisors of 153, 451, 825, 383 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 451, 825, 383 is 1.
Therefore, GCD of numbers 153, 451, 825, 383 is 1
Given Input Data is 153, 451, 825, 383
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 153 is 3 x 3 x 17
Prime Factorization of 451 is 11 x 41
Prime Factorization of 825 is 3 x 5 x 5 x 11
Prime Factorization of 383 is 383
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(153, 451) = 69003
GCD(153, 451) = ( 153 x 451 ) / 69003
GCD(153, 451) = 69003 / 69003
GCD(153, 451) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 825
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 825) = 825
GCD(1, 825) = ( 1 x 825 ) / 825
GCD(1, 825) = 825 / 825
GCD(1, 825) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 383
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 383) = 383
GCD(1, 383) = ( 1 x 383 ) / 383
GCD(1, 383) = 383 / 383
GCD(1, 383) = 1
GCD of 153, 451, 825, 383 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 153, 451, 825, 383?
GCD of 153, 451, 825, 383 is 1
2. Where do I get the detailed procedure to find GCD of 153, 451, 825, 383?
You can find a detailed procedure to find GCD of 153, 451, 825, 383 on our page.
3. How to find GCD of 153, 451, 825, 383 on a calculator?
You can find the GCD of 153, 451, 825, 383 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.