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 209, 977, 27, 697 i.e. 1 largest integer that divides all the numbers equally.
GCD of 209, 977, 27, 697 is 1
GCD(209, 977, 27, 697) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 209, 977, 27, 697 is 1
GCD(209, 977, 27, 697) = 1
Given Input numbers are 209, 977, 27, 697
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 209
List of positive integer divisors of 209 that divides 209 without a remainder.
1, 11, 19, 209
Divisors of 977
List of positive integer divisors of 977 that divides 977 without a remainder.
1, 977
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Greatest Common Divisior
We found the divisors of 209, 977, 27, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 977, 27, 697 is 1.
Therefore, GCD of numbers 209, 977, 27, 697 is 1
Given Input Data is 209, 977, 27, 697
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 209 is 11 x 19
Prime Factorization of 977 is 977
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 697 is 17 x 41
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(209, 977) = 204193
GCD(209, 977) = ( 209 x 977 ) / 204193
GCD(209, 977) = 204193 / 204193
GCD(209, 977) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 27) = 27
GCD(1, 27) = ( 1 x 27 ) / 27
GCD(1, 27) = 27 / 27
GCD(1, 27) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 697
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 697) = 697
GCD(1, 697) = ( 1 x 697 ) / 697
GCD(1, 697) = 697 / 697
GCD(1, 697) = 1
GCD of 209, 977, 27, 697 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 209, 977, 27, 697?
GCD of 209, 977, 27, 697 is 1
2. Where do I get the detailed procedure to find GCD of 209, 977, 27, 697?
You can find a detailed procedure to find GCD of 209, 977, 27, 697 on our page.
3. How to find GCD of 209, 977, 27, 697 on a calculator?
You can find the GCD of 209, 977, 27, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.