GCD of 869, 935, 204 Calculator
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 869, 935, 204 i.e. 1 largest integer that divides all the numbers equally.
GCD of 869, 935, 204 is 1
GCD(869, 935, 204) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 869, 935, 204 is 1
GCD(869, 935, 204) = 1
GCDof 869,935,204 is 1
Given Input numbers are 869, 935, 204
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 869
List of positive integer divisors of 869 that divides 869 without a remainder.
1, 11, 79, 869
Divisors of 935
List of positive integer divisors of 935 that divides 935 without a remainder.
1, 5, 11, 17, 55, 85, 187, 935
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
Greatest Common Divisior
We found the divisors of 869, 935, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 869, 935, 204 is 1.
Therefore, GCD of numbers 869, 935, 204 is 1
Given Input Data is 869, 935, 204
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 869 is 11 x 79
Prime Factorization of 935 is 5 x 11 x 17
Prime Factorization of 204 is 2 x 2 x 3 x 17
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 869, 935, 204 using LCM Formula
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(869, 935) = 73865
GCD(869, 935) = ( 869 x 935 ) / 73865
GCD(869, 935) = 812515 / 73865
GCD(869, 935) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 204
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 204) = 2244
GCD(11, 204) = ( 11 x 204 ) / 2244
GCD(11, 204) = 2244 / 2244
GCD(11, 204) = 1
GCD of 869, 935, 204 is 1
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FAQs on GCD of numbers 869, 935, 204
1. What is the GCD of 869, 935, 204?
GCD of 869, 935, 204 is 1
2. Where do I get the detailed procedure to find GCD of 869, 935, 204?
You can find a detailed procedure to find GCD of 869, 935, 204 on our page.
3. How to find GCD of 869, 935, 204 on a calculator?
You can find the GCD of 869, 935, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.