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 836, 869, 271, 655 i.e. 1 largest integer that divides all the numbers equally.
GCD of 836, 869, 271, 655 is 1
GCD(836, 869, 271, 655) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 836, 869, 271, 655 is 1
GCD(836, 869, 271, 655) = 1
Given Input numbers are 836, 869, 271, 655
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 836
List of positive integer divisors of 836 that divides 836 without a remainder.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
Divisors of 869
List of positive integer divisors of 869 that divides 869 without a remainder.
1, 11, 79, 869
Divisors of 271
List of positive integer divisors of 271 that divides 271 without a remainder.
1, 271
Divisors of 655
List of positive integer divisors of 655 that divides 655 without a remainder.
1, 5, 131, 655
Greatest Common Divisior
We found the divisors of 836, 869, 271, 655 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 836, 869, 271, 655 is 1.
Therefore, GCD of numbers 836, 869, 271, 655 is 1
Given Input Data is 836, 869, 271, 655
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 836 is 2 x 2 x 11 x 19
Prime Factorization of 869 is 11 x 79
Prime Factorization of 271 is 271
Prime Factorization of 655 is 5 x 131
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(836, 869) = 66044
GCD(836, 869) = ( 836 x 869 ) / 66044
GCD(836, 869) = 726484 / 66044
GCD(836, 869) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 271
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 271) = 2981
GCD(11, 271) = ( 11 x 271 ) / 2981
GCD(11, 271) = 2981 / 2981
GCD(11, 271) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 655
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 655) = 655
GCD(1, 655) = ( 1 x 655 ) / 655
GCD(1, 655) = 655 / 655
GCD(1, 655) = 1
GCD of 836, 869, 271, 655 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 836, 869, 271, 655?
GCD of 836, 869, 271, 655 is 1
2. Where do I get the detailed procedure to find GCD of 836, 869, 271, 655?
You can find a detailed procedure to find GCD of 836, 869, 271, 655 on our page.
3. How to find GCD of 836, 869, 271, 655 on a calculator?
You can find the GCD of 836, 869, 271, 655 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.