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 166, 688, 87, 684 i.e. 1 largest integer that divides all the numbers equally.
GCD of 166, 688, 87, 684 is 1
GCD(166, 688, 87, 684) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 166, 688, 87, 684 is 1
GCD(166, 688, 87, 684) = 1
Given Input numbers are 166, 688, 87, 684
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 166
List of positive integer divisors of 166 that divides 166 without a remainder.
1, 2, 83, 166
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 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 684
List of positive integer divisors of 684 that divides 684 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Greatest Common Divisior
We found the divisors of 166, 688, 87, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 166, 688, 87, 684 is 1.
Therefore, GCD of numbers 166, 688, 87, 684 is 1
Given Input Data is 166, 688, 87, 684
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 166 is 2 x 83
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 87 is 3 x 29
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
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(166, 688) = 57104
GCD(166, 688) = ( 166 x 688 ) / 57104
GCD(166, 688) = 114208 / 57104
GCD(166, 688) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 87) = 174
GCD(2, 87) = ( 2 x 87 ) / 174
GCD(2, 87) = 174 / 174
GCD(2, 87) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 684
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 684) = 684
GCD(1, 684) = ( 1 x 684 ) / 684
GCD(1, 684) = 684 / 684
GCD(1, 684) = 1
GCD of 166, 688, 87, 684 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 166, 688, 87, 684?
GCD of 166, 688, 87, 684 is 1
2. Where do I get the detailed procedure to find GCD of 166, 688, 87, 684?
You can find a detailed procedure to find GCD of 166, 688, 87, 684 on our page.
3. How to find GCD of 166, 688, 87, 684 on a calculator?
You can find the GCD of 166, 688, 87, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.