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 204, 869, 88, 267 i.e. 1 largest integer that divides all the numbers equally.
GCD of 204, 869, 88, 267 is 1
GCD(204, 869, 88, 267) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 204, 869, 88, 267 is 1
GCD(204, 869, 88, 267) = 1
Given Input numbers are 204, 869, 88, 267
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 204
List of positive integer divisors of 204 that divides 204 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 869
List of positive integer divisors of 869 that divides 869 without a remainder.
1, 11, 79, 869
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 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
Greatest Common Divisior
We found the divisors of 204, 869, 88, 267 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 869, 88, 267 is 1.
Therefore, GCD of numbers 204, 869, 88, 267 is 1
Given Input Data is 204, 869, 88, 267
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 204 is 2 x 2 x 3 x 17
Prime Factorization of 869 is 11 x 79
Prime Factorization of 88 is 2 x 2 x 2 x 11
Prime Factorization of 267 is 3 x 89
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(204, 869) = 177276
GCD(204, 869) = ( 204 x 869 ) / 177276
GCD(204, 869) = 177276 / 177276
GCD(204, 869) = 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 267
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 267) = 267
GCD(1, 267) = ( 1 x 267 ) / 267
GCD(1, 267) = 267 / 267
GCD(1, 267) = 1
GCD of 204, 869, 88, 267 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 204, 869, 88, 267?
GCD of 204, 869, 88, 267 is 1
2. Where do I get the detailed procedure to find GCD of 204, 869, 88, 267?
You can find a detailed procedure to find GCD of 204, 869, 88, 267 on our page.
3. How to find GCD of 204, 869, 88, 267 on a calculator?
You can find the GCD of 204, 869, 88, 267 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.