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 271, 708, 161, 210 i.e. 1 largest integer that divides all the numbers equally.
GCD of 271, 708, 161, 210 is 1
GCD(271, 708, 161, 210) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 271, 708, 161, 210 is 1
GCD(271, 708, 161, 210) = 1
Given Input numbers are 271, 708, 161, 210
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 271
List of positive integer divisors of 271 that divides 271 without a remainder.
1, 271
Divisors of 708
List of positive integer divisors of 708 that divides 708 without a remainder.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 161
List of positive integer divisors of 161 that divides 161 without a remainder.
1, 7, 23, 161
Divisors of 210
List of positive integer divisors of 210 that divides 210 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Greatest Common Divisior
We found the divisors of 271, 708, 161, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 271, 708, 161, 210 is 1.
Therefore, GCD of numbers 271, 708, 161, 210 is 1
Given Input Data is 271, 708, 161, 210
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 271 is 271
Prime Factorization of 708 is 2 x 2 x 3 x 59
Prime Factorization of 161 is 7 x 23
Prime Factorization of 210 is 2 x 3 x 5 x 7
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(271, 708) = 191868
GCD(271, 708) = ( 271 x 708 ) / 191868
GCD(271, 708) = 191868 / 191868
GCD(271, 708) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 161
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 161) = 161
GCD(1, 161) = ( 1 x 161 ) / 161
GCD(1, 161) = 161 / 161
GCD(1, 161) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 210
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 210) = 210
GCD(1, 210) = ( 1 x 210 ) / 210
GCD(1, 210) = 210 / 210
GCD(1, 210) = 1
GCD of 271, 708, 161, 210 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 271, 708, 161, 210?
GCD of 271, 708, 161, 210 is 1
2. Where do I get the detailed procedure to find GCD of 271, 708, 161, 210?
You can find a detailed procedure to find GCD of 271, 708, 161, 210 on our page.
3. How to find GCD of 271, 708, 161, 210 on a calculator?
You can find the GCD of 271, 708, 161, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.