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 270, 601, 73, 687 i.e. 1 largest integer that divides all the numbers equally.
GCD of 270, 601, 73, 687 is 1
GCD(270, 601, 73, 687) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 270, 601, 73, 687 is 1
GCD(270, 601, 73, 687) = 1
Given Input numbers are 270, 601, 73, 687
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 601
List of positive integer divisors of 601 that divides 601 without a remainder.
1, 601
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Greatest Common Divisior
We found the divisors of 270, 601, 73, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 601, 73, 687 is 1.
Therefore, GCD of numbers 270, 601, 73, 687 is 1
Given Input Data is 270, 601, 73, 687
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
Prime Factorization of 601 is 601
Prime Factorization of 73 is 73
Prime Factorization of 687 is 3 x 229
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(270, 601) = 162270
GCD(270, 601) = ( 270 x 601 ) / 162270
GCD(270, 601) = 162270 / 162270
GCD(270, 601) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 73) = 73
GCD(1, 73) = ( 1 x 73 ) / 73
GCD(1, 73) = 73 / 73
GCD(1, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 687
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 687) = 687
GCD(1, 687) = ( 1 x 687 ) / 687
GCD(1, 687) = 687 / 687
GCD(1, 687) = 1
GCD of 270, 601, 73, 687 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 270, 601, 73, 687?
GCD of 270, 601, 73, 687 is 1
2. Where do I get the detailed procedure to find GCD of 270, 601, 73, 687?
You can find a detailed procedure to find GCD of 270, 601, 73, 687 on our page.
3. How to find GCD of 270, 601, 73, 687 on a calculator?
You can find the GCD of 270, 601, 73, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.