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, 104, 26, 661 i.e. 1 largest integer that divides all the numbers equally.
GCD of 270, 104, 26, 661 is 1
GCD(270, 104, 26, 661) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 270, 104, 26, 661 is 1
GCD(270, 104, 26, 661) = 1
Given Input numbers are 270, 104, 26, 661
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 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 26
List of positive integer divisors of 26 that divides 26 without a remainder.
1, 2, 13, 26
Divisors of 661
List of positive integer divisors of 661 that divides 661 without a remainder.
1, 661
Greatest Common Divisior
We found the divisors of 270, 104, 26, 661 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 104, 26, 661 is 1.
Therefore, GCD of numbers 270, 104, 26, 661 is 1
Given Input Data is 270, 104, 26, 661
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 104 is 2 x 2 x 2 x 13
Prime Factorization of 26 is 2 x 13
Prime Factorization of 661 is 661
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, 104) = 14040
GCD(270, 104) = ( 270 x 104 ) / 14040
GCD(270, 104) = 28080 / 14040
GCD(270, 104) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 26
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 26) = 26
GCD(2, 26) = ( 2 x 26 ) / 26
GCD(2, 26) = 52 / 26
GCD(2, 26) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 661
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 661) = 1322
GCD(2, 661) = ( 2 x 661 ) / 1322
GCD(2, 661) = 1322 / 1322
GCD(2, 661) = 1
GCD of 270, 104, 26, 661 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 270, 104, 26, 661?
GCD of 270, 104, 26, 661 is 1
2. Where do I get the detailed procedure to find GCD of 270, 104, 26, 661?
You can find a detailed procedure to find GCD of 270, 104, 26, 661 on our page.
3. How to find GCD of 270, 104, 26, 661 on a calculator?
You can find the GCD of 270, 104, 26, 661 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.