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 692, 990, 180 i.e. 2 largest integer that divides all the numbers equally.
GCD of 692, 990, 180 is 2
GCD(692, 990, 180) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 692, 990, 180 is 2
GCD(692, 990, 180) = 2
Given Input numbers are 692, 990, 180
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Divisors of 990
List of positive integer divisors of 990 that divides 990 without a remainder.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Greatest Common Divisior
We found the divisors of 692, 990, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 990, 180 is 2.
Therefore, GCD of numbers 692, 990, 180 is 2
Given Input Data is 692, 990, 180
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 692 is 2 x 2 x 173
Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(692, 990) = 342540
GCD(692, 990) = ( 692 x 990 ) / 342540
GCD(692, 990) = 685080 / 342540
GCD(692, 990) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 180
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 180) = 180
GCD(2, 180) = ( 2 x 180 ) / 180
GCD(2, 180) = 360 / 180
GCD(2, 180) = 2
GCD of 692, 990, 180 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 692, 990, 180?
GCD of 692, 990, 180 is 2
2. Where do I get the detailed procedure to find GCD of 692, 990, 180?
You can find a detailed procedure to find GCD of 692, 990, 180 on our page.
3. How to find GCD of 692, 990, 180 on a calculator?
You can find the GCD of 692, 990, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.