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, 821, 617, 485 i.e. 1 largest integer that divides all the numbers equally.
GCD of 270, 821, 617, 485 is 1
GCD(270, 821, 617, 485) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 270, 821, 617, 485 is 1
GCD(270, 821, 617, 485) = 1
Given Input numbers are 270, 821, 617, 485
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 821
List of positive integer divisors of 821 that divides 821 without a remainder.
1, 821
Divisors of 617
List of positive integer divisors of 617 that divides 617 without a remainder.
1, 617
Divisors of 485
List of positive integer divisors of 485 that divides 485 without a remainder.
1, 5, 97, 485
Greatest Common Divisior
We found the divisors of 270, 821, 617, 485 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 821, 617, 485 is 1.
Therefore, GCD of numbers 270, 821, 617, 485 is 1
Given Input Data is 270, 821, 617, 485
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 821 is 821
Prime Factorization of 617 is 617
Prime Factorization of 485 is 5 x 97
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, 821) = 221670
GCD(270, 821) = ( 270 x 821 ) / 221670
GCD(270, 821) = 221670 / 221670
GCD(270, 821) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 617
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 617) = 617
GCD(1, 617) = ( 1 x 617 ) / 617
GCD(1, 617) = 617 / 617
GCD(1, 617) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 485
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 485) = 485
GCD(1, 485) = ( 1 x 485 ) / 485
GCD(1, 485) = 485 / 485
GCD(1, 485) = 1
GCD of 270, 821, 617, 485 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 270, 821, 617, 485?
GCD of 270, 821, 617, 485 is 1
2. Where do I get the detailed procedure to find GCD of 270, 821, 617, 485?
You can find a detailed procedure to find GCD of 270, 821, 617, 485 on our page.
3. How to find GCD of 270, 821, 617, 485 on a calculator?
You can find the GCD of 270, 821, 617, 485 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.