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 180, 613, 471, 646 i.e. 1 largest integer that divides all the numbers equally.
GCD of 180, 613, 471, 646 is 1
GCD(180, 613, 471, 646) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 180, 613, 471, 646 is 1
GCD(180, 613, 471, 646) = 1
Given Input numbers are 180, 613, 471, 646
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 613
List of positive integer divisors of 613 that divides 613 without a remainder.
1, 613
Divisors of 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Divisors of 646
List of positive integer divisors of 646 that divides 646 without a remainder.
1, 2, 17, 19, 34, 38, 323, 646
Greatest Common Divisior
We found the divisors of 180, 613, 471, 646 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 613, 471, 646 is 1.
Therefore, GCD of numbers 180, 613, 471, 646 is 1
Given Input Data is 180, 613, 471, 646
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 613 is 613
Prime Factorization of 471 is 3 x 157
Prime Factorization of 646 is 2 x 17 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(180, 613) = 110340
GCD(180, 613) = ( 180 x 613 ) / 110340
GCD(180, 613) = 110340 / 110340
GCD(180, 613) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 471
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 471) = 471
GCD(1, 471) = ( 1 x 471 ) / 471
GCD(1, 471) = 471 / 471
GCD(1, 471) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 646
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 646) = 646
GCD(1, 646) = ( 1 x 646 ) / 646
GCD(1, 646) = 646 / 646
GCD(1, 646) = 1
GCD of 180, 613, 471, 646 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 180, 613, 471, 646?
GCD of 180, 613, 471, 646 is 1
2. Where do I get the detailed procedure to find GCD of 180, 613, 471, 646?
You can find a detailed procedure to find GCD of 180, 613, 471, 646 on our page.
3. How to find GCD of 180, 613, 471, 646 on a calculator?
You can find the GCD of 180, 613, 471, 646 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.