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 669, 984, 172 i.e. 1 largest integer that divides all the numbers equally.
GCD of 669, 984, 172 is 1
GCD(669, 984, 172) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 669, 984, 172 is 1
GCD(669, 984, 172) = 1
Given Input numbers are 669, 984, 172
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 669
List of positive integer divisors of 669 that divides 669 without a remainder.
1, 3, 223, 669
Divisors of 984
List of positive integer divisors of 984 that divides 984 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
Greatest Common Divisior
We found the divisors of 669, 984, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 669, 984, 172 is 1.
Therefore, GCD of numbers 669, 984, 172 is 1
Given Input Data is 669, 984, 172
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 669 is 3 x 223
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
Prime Factorization of 172 is 2 x 2 x 43
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(669, 984) = 219432
GCD(669, 984) = ( 669 x 984 ) / 219432
GCD(669, 984) = 658296 / 219432
GCD(669, 984) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 172
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 172) = 516
GCD(3, 172) = ( 3 x 172 ) / 516
GCD(3, 172) = 516 / 516
GCD(3, 172) = 1
GCD of 669, 984, 172 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 669, 984, 172?
GCD of 669, 984, 172 is 1
2. Where do I get the detailed procedure to find GCD of 669, 984, 172?
You can find a detailed procedure to find GCD of 669, 984, 172 on our page.
3. How to find GCD of 669, 984, 172 on a calculator?
You can find the GCD of 669, 984, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.