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, 297, 957 i.e. 11 largest integer that divides all the numbers equally.
GCD of 836, 297, 957 is 11
GCD(836, 297, 957) = 11
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 836, 297, 957 is 11
GCD(836, 297, 957) = 11
Given Input numbers are 836, 297, 957
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 297
List of positive integer divisors of 297 that divides 297 without a remainder.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 957
List of positive integer divisors of 957 that divides 957 without a remainder.
1, 3, 11, 29, 33, 87, 319, 957
Greatest Common Divisior
We found the divisors of 836, 297, 957 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 836, 297, 957 is 11.
Therefore, GCD of numbers 836, 297, 957 is 11
Given Input Data is 836, 297, 957
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 297 is 3 x 3 x 3 x 11
Prime Factorization of 957 is 3 x 11 x 29
Highest common occurrences in the given inputs are 111
Multiplying them we get the GCD as 11
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, 297) = 22572
GCD(836, 297) = ( 836 x 297 ) / 22572
GCD(836, 297) = 248292 / 22572
GCD(836, 297) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 957
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 957) = 957
GCD(11, 957) = ( 11 x 957 ) / 957
GCD(11, 957) = 10527 / 957
GCD(11, 957) = 11
GCD of 836, 297, 957 is 11
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 836, 297, 957?
GCD of 836, 297, 957 is 11
2. Where do I get the detailed procedure to find GCD of 836, 297, 957?
You can find a detailed procedure to find GCD of 836, 297, 957 on our page.
3. How to find GCD of 836, 297, 957 on a calculator?
You can find the GCD of 836, 297, 957 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.