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, 197, 66, 166 i.e. 1 largest integer that divides all the numbers equally.
GCD of 688, 197, 66, 166 is 1
GCD(688, 197, 66, 166) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 688, 197, 66, 166 is 1
GCD(688, 197, 66, 166) = 1
Given Input numbers are 688, 197, 66, 166
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 197
List of positive integer divisors of 197 that divides 197 without a remainder.
1, 197
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 166
List of positive integer divisors of 166 that divides 166 without a remainder.
1, 2, 83, 166
Greatest Common Divisior
We found the divisors of 688, 197, 66, 166 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 197, 66, 166 is 1.
Therefore, GCD of numbers 688, 197, 66, 166 is 1
Given Input Data is 688, 197, 66, 166
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 197 is 197
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 166 is 2 x 83
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, 197) = 135536
GCD(688, 197) = ( 688 x 197 ) / 135536
GCD(688, 197) = 135536 / 135536
GCD(688, 197) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 66) = 66
GCD(1, 66) = ( 1 x 66 ) / 66
GCD(1, 66) = 66 / 66
GCD(1, 66) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 166
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 166) = 166
GCD(1, 166) = ( 1 x 166 ) / 166
GCD(1, 166) = 166 / 166
GCD(1, 166) = 1
GCD of 688, 197, 66, 166 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 688, 197, 66, 166?
GCD of 688, 197, 66, 166 is 1
2. Where do I get the detailed procedure to find GCD of 688, 197, 66, 166?
You can find a detailed procedure to find GCD of 688, 197, 66, 166 on our page.
3. How to find GCD of 688, 197, 66, 166 on a calculator?
You can find the GCD of 688, 197, 66, 166 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.