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 261, 908, 88, 218 i.e. 1 largest integer that divides all the numbers equally.
GCD of 261, 908, 88, 218 is 1
GCD(261, 908, 88, 218) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 261, 908, 88, 218 is 1
GCD(261, 908, 88, 218) = 1
Given Input numbers are 261, 908, 88, 218
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 261
List of positive integer divisors of 261 that divides 261 without a remainder.
1, 3, 9, 29, 87, 261
Divisors of 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Divisors of 88
List of positive integer divisors of 88 that divides 88 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88
Divisors of 218
List of positive integer divisors of 218 that divides 218 without a remainder.
1, 2, 109, 218
Greatest Common Divisior
We found the divisors of 261, 908, 88, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 908, 88, 218 is 1.
Therefore, GCD of numbers 261, 908, 88, 218 is 1
Given Input Data is 261, 908, 88, 218
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 261 is 3 x 3 x 29
Prime Factorization of 908 is 2 x 2 x 227
Prime Factorization of 88 is 2 x 2 x 2 x 11
Prime Factorization of 218 is 2 x 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(261, 908) = 236988
GCD(261, 908) = ( 261 x 908 ) / 236988
GCD(261, 908) = 236988 / 236988
GCD(261, 908) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 88
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 88) = 88
GCD(1, 88) = ( 1 x 88 ) / 88
GCD(1, 88) = 88 / 88
GCD(1, 88) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 218
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 218) = 218
GCD(1, 218) = ( 1 x 218 ) / 218
GCD(1, 218) = 218 / 218
GCD(1, 218) = 1
GCD of 261, 908, 88, 218 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 261, 908, 88, 218?
GCD of 261, 908, 88, 218 is 1
2. Where do I get the detailed procedure to find GCD of 261, 908, 88, 218?
You can find a detailed procedure to find GCD of 261, 908, 88, 218 on our page.
3. How to find GCD of 261, 908, 88, 218 on a calculator?
You can find the GCD of 261, 908, 88, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.