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, 687, 459, 397 i.e. 1 largest integer that divides all the numbers equally.
GCD of 153, 687, 459, 397 is 1
GCD(153, 687, 459, 397) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 153, 687, 459, 397 is 1
GCD(153, 687, 459, 397) = 1
Given Input numbers are 153, 687, 459, 397
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 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Divisors of 459
List of positive integer divisors of 459 that divides 459 without a remainder.
1, 3, 9, 17, 27, 51, 153, 459
Divisors of 397
List of positive integer divisors of 397 that divides 397 without a remainder.
1, 397
Greatest Common Divisior
We found the divisors of 153, 687, 459, 397 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 687, 459, 397 is 1.
Therefore, GCD of numbers 153, 687, 459, 397 is 1
Given Input Data is 153, 687, 459, 397
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 687 is 3 x 229
Prime Factorization of 459 is 3 x 3 x 3 x 17
Prime Factorization of 397 is 397
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, 687) = 35037
GCD(153, 687) = ( 153 x 687 ) / 35037
GCD(153, 687) = 105111 / 35037
GCD(153, 687) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 459
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 459) = 459
GCD(3, 459) = ( 3 x 459 ) / 459
GCD(3, 459) = 1377 / 459
GCD(3, 459) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 397
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 397) = 1191
GCD(3, 397) = ( 3 x 397 ) / 1191
GCD(3, 397) = 1191 / 1191
GCD(3, 397) = 1
GCD of 153, 687, 459, 397 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 153, 687, 459, 397?
GCD of 153, 687, 459, 397 is 1
2. Where do I get the detailed procedure to find GCD of 153, 687, 459, 397?
You can find a detailed procedure to find GCD of 153, 687, 459, 397 on our page.
3. How to find GCD of 153, 687, 459, 397 on a calculator?
You can find the GCD of 153, 687, 459, 397 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.