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 688, 312, 836, 899 i.e. 1 largest integer that divides all the numbers equally.
GCD of 688, 312, 836, 899 is 1
GCD(688, 312, 836, 899) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 688, 312, 836, 899 is 1
GCD(688, 312, 836, 899) = 1
Given Input numbers are 688, 312, 836, 899
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
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 899
List of positive integer divisors of 899 that divides 899 without a remainder.
1, 29, 31, 899
Greatest Common Divisior
We found the divisors of 688, 312, 836, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 312, 836, 899 is 1.
Therefore, GCD of numbers 688, 312, 836, 899 is 1
Given Input Data is 688, 312, 836, 899
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
Prime Factorization of 836 is 2 x 2 x 11 x 19
Prime Factorization of 899 is 29 x 31
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(688, 312) = 26832
GCD(688, 312) = ( 688 x 312 ) / 26832
GCD(688, 312) = 214656 / 26832
GCD(688, 312) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 836
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 836) = 1672
GCD(8, 836) = ( 8 x 836 ) / 1672
GCD(8, 836) = 6688 / 1672
GCD(8, 836) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 899
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 899) = 3596
GCD(4, 899) = ( 4 x 899 ) / 3596
GCD(4, 899) = 3596 / 3596
GCD(4, 899) = 1
GCD of 688, 312, 836, 899 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 688, 312, 836, 899?
GCD of 688, 312, 836, 899 is 1
2. Where do I get the detailed procedure to find GCD of 688, 312, 836, 899?
You can find a detailed procedure to find GCD of 688, 312, 836, 899 on our page.
3. How to find GCD of 688, 312, 836, 899 on a calculator?
You can find the GCD of 688, 312, 836, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.