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, 914, 29, 657 i.e. 1 largest integer that divides all the numbers equally.
GCD of 836, 914, 29, 657 is 1
GCD(836, 914, 29, 657) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 836, 914, 29, 657 is 1
GCD(836, 914, 29, 657) = 1
Given Input numbers are 836, 914, 29, 657
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 914
List of positive integer divisors of 914 that divides 914 without a remainder.
1, 2, 457, 914
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 657
List of positive integer divisors of 657 that divides 657 without a remainder.
1, 3, 9, 73, 219, 657
Greatest Common Divisior
We found the divisors of 836, 914, 29, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 836, 914, 29, 657 is 1.
Therefore, GCD of numbers 836, 914, 29, 657 is 1
Given Input Data is 836, 914, 29, 657
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 914 is 2 x 457
Prime Factorization of 29 is 29
Prime Factorization of 657 is 3 x 3 x 73
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, 914) = 382052
GCD(836, 914) = ( 836 x 914 ) / 382052
GCD(836, 914) = 764104 / 382052
GCD(836, 914) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 29
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 29) = 58
GCD(2, 29) = ( 2 x 29 ) / 58
GCD(2, 29) = 58 / 58
GCD(2, 29) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 657
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 657) = 657
GCD(1, 657) = ( 1 x 657 ) / 657
GCD(1, 657) = 657 / 657
GCD(1, 657) = 1
GCD of 836, 914, 29, 657 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 836, 914, 29, 657?
GCD of 836, 914, 29, 657 is 1
2. Where do I get the detailed procedure to find GCD of 836, 914, 29, 657?
You can find a detailed procedure to find GCD of 836, 914, 29, 657 on our page.
3. How to find GCD of 836, 914, 29, 657 on a calculator?
You can find the GCD of 836, 914, 29, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.