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 27, 340, 526, 109 i.e. 1 largest integer that divides all the numbers equally.
GCD of 27, 340, 526, 109 is 1
GCD(27, 340, 526, 109) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 27, 340, 526, 109 is 1
GCD(27, 340, 526, 109) = 1
Given Input numbers are 27, 340, 526, 109
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 526
List of positive integer divisors of 526 that divides 526 without a remainder.
1, 2, 263, 526
Divisors of 109
List of positive integer divisors of 109 that divides 109 without a remainder.
1, 109
Greatest Common Divisior
We found the divisors of 27, 340, 526, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 340, 526, 109 is 1.
Therefore, GCD of numbers 27, 340, 526, 109 is 1
Given Input Data is 27, 340, 526, 109
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 340 is 2 x 2 x 5 x 17
Prime Factorization of 526 is 2 x 263
Prime Factorization of 109 is 109
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(27, 340) = 9180
GCD(27, 340) = ( 27 x 340 ) / 9180
GCD(27, 340) = 9180 / 9180
GCD(27, 340) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 526
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 526) = 526
GCD(1, 526) = ( 1 x 526 ) / 526
GCD(1, 526) = 526 / 526
GCD(1, 526) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 109
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 109) = 109
GCD(1, 109) = ( 1 x 109 ) / 109
GCD(1, 109) = 109 / 109
GCD(1, 109) = 1
GCD of 27, 340, 526, 109 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 27, 340, 526, 109?
GCD of 27, 340, 526, 109 is 1
2. Where do I get the detailed procedure to find GCD of 27, 340, 526, 109?
You can find a detailed procedure to find GCD of 27, 340, 526, 109 on our page.
3. How to find GCD of 27, 340, 526, 109 on a calculator?
You can find the GCD of 27, 340, 526, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.