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 178, 690, 669 i.e. 1 largest integer that divides all the numbers equally.
GCD of 178, 690, 669 is 1
GCD(178, 690, 669) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 178, 690, 669 is 1
GCD(178, 690, 669) = 1
Given Input numbers are 178, 690, 669
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Divisors of 690
List of positive integer divisors of 690 that divides 690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 669
List of positive integer divisors of 669 that divides 669 without a remainder.
1, 3, 223, 669
Greatest Common Divisior
We found the divisors of 178, 690, 669 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 690, 669 is 1.
Therefore, GCD of numbers 178, 690, 669 is 1
Given Input Data is 178, 690, 669
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 178 is 2 x 89
Prime Factorization of 690 is 2 x 3 x 5 x 23
Prime Factorization of 669 is 3 x 223
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(178, 690) = 61410
GCD(178, 690) = ( 178 x 690 ) / 61410
GCD(178, 690) = 122820 / 61410
GCD(178, 690) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 669
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 669) = 1338
GCD(2, 669) = ( 2 x 669 ) / 1338
GCD(2, 669) = 1338 / 1338
GCD(2, 669) = 1
GCD of 178, 690, 669 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 178, 690, 669?
GCD of 178, 690, 669 is 1
2. Where do I get the detailed procedure to find GCD of 178, 690, 669?
You can find a detailed procedure to find GCD of 178, 690, 669 on our page.
3. How to find GCD of 178, 690, 669 on a calculator?
You can find the GCD of 178, 690, 669 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.