GCD of 338, 836, 891 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 338, 836, 891 i.e. 1 largest integer that divides all the numbers equally.
GCD of 338, 836, 891 is 1
GCD(338, 836, 891) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 338, 836, 891 is 1
GCD(338, 836, 891) = 1
GCDof 338,836,891 is 1
Given Input numbers are 338, 836, 891
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
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 891
List of positive integer divisors of 891 that divides 891 without a remainder.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Greatest Common Divisior
We found the divisors of 338, 836, 891 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 836, 891 is 1.
Therefore, GCD of numbers 338, 836, 891 is 1
Given Input Data is 338, 836, 891
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 338 is 2 x 13 x 13
Prime Factorization of 836 is 2 x 2 x 11 x 19
Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 338, 836, 891 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(338, 836) = 141284
GCD(338, 836) = ( 338 x 836 ) / 141284
GCD(338, 836) = 282568 / 141284
GCD(338, 836) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 891
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 891) = 1782
GCD(2, 891) = ( 2 x 891 ) / 1782
GCD(2, 891) = 1782 / 1782
GCD(2, 891) = 1
GCD of 338, 836, 891 is 1
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 338, 836, 891
1. What is the GCD of 338, 836, 891?
GCD of 338, 836, 891 is 1
2. Where do I get the detailed procedure to find GCD of 338, 836, 891?
You can find a detailed procedure to find GCD of 338, 836, 891 on our page.
3. How to find GCD of 338, 836, 891 on a calculator?
You can find the GCD of 338, 836, 891 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
