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, 955, 61, 563 i.e. 1 largest integer that divides all the numbers equally.
GCD of 270, 955, 61, 563 is 1
GCD(270, 955, 61, 563) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 270, 955, 61, 563 is 1
GCD(270, 955, 61, 563) = 1
Given Input numbers are 270, 955, 61, 563
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 955
List of positive integer divisors of 955 that divides 955 without a remainder.
1, 5, 191, 955
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 563
List of positive integer divisors of 563 that divides 563 without a remainder.
1, 563
Greatest Common Divisior
We found the divisors of 270, 955, 61, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 955, 61, 563 is 1.
Therefore, GCD of numbers 270, 955, 61, 563 is 1
Given Input Data is 270, 955, 61, 563
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 955 is 5 x 191
Prime Factorization of 61 is 61
Prime Factorization of 563 is 563
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, 955) = 51570
GCD(270, 955) = ( 270 x 955 ) / 51570
GCD(270, 955) = 257850 / 51570
GCD(270, 955) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 61) = 305
GCD(5, 61) = ( 5 x 61 ) / 305
GCD(5, 61) = 305 / 305
GCD(5, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 563
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 563) = 563
GCD(1, 563) = ( 1 x 563 ) / 563
GCD(1, 563) = 563 / 563
GCD(1, 563) = 1
GCD of 270, 955, 61, 563 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 270, 955, 61, 563?
GCD of 270, 955, 61, 563 is 1
2. Where do I get the detailed procedure to find GCD of 270, 955, 61, 563?
You can find a detailed procedure to find GCD of 270, 955, 61, 563 on our page.
3. How to find GCD of 270, 955, 61, 563 on a calculator?
You can find the GCD of 270, 955, 61, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.