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, 164, 64, 199 i.e. 1 largest integer that divides all the numbers equally.
GCD of 688, 164, 64, 199 is 1
GCD(688, 164, 64, 199) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 688, 164, 64, 199 is 1
GCD(688, 164, 64, 199) = 1
Given Input numbers are 688, 164, 64, 199
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 164
List of positive integer divisors of 164 that divides 164 without a remainder.
1, 2, 4, 41, 82, 164
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Divisors of 199
List of positive integer divisors of 199 that divides 199 without a remainder.
1, 199
Greatest Common Divisior
We found the divisors of 688, 164, 64, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 164, 64, 199 is 1.
Therefore, GCD of numbers 688, 164, 64, 199 is 1
Given Input Data is 688, 164, 64, 199
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 164 is 2 x 2 x 41
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 199 is 199
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, 164) = 28208
GCD(688, 164) = ( 688 x 164 ) / 28208
GCD(688, 164) = 112832 / 28208
GCD(688, 164) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 64
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 64) = 64
GCD(4, 64) = ( 4 x 64 ) / 64
GCD(4, 64) = 256 / 64
GCD(4, 64) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 199
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 199) = 796
GCD(4, 199) = ( 4 x 199 ) / 796
GCD(4, 199) = 796 / 796
GCD(4, 199) = 1
GCD of 688, 164, 64, 199 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 688, 164, 64, 199?
GCD of 688, 164, 64, 199 is 1
2. Where do I get the detailed procedure to find GCD of 688, 164, 64, 199?
You can find a detailed procedure to find GCD of 688, 164, 64, 199 on our page.
3. How to find GCD of 688, 164, 64, 199 on a calculator?
You can find the GCD of 688, 164, 64, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.