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 332, 177, 20, 410 i.e. 1 largest integer that divides all the numbers equally.
GCD of 332, 177, 20, 410 is 1
GCD(332, 177, 20, 410) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 332, 177, 20, 410 is 1
GCD(332, 177, 20, 410) = 1
Given Input numbers are 332, 177, 20, 410
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 410
List of positive integer divisors of 410 that divides 410 without a remainder.
1, 2, 5, 10, 41, 82, 205, 410
Greatest Common Divisior
We found the divisors of 332, 177, 20, 410 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 332, 177, 20, 410 is 1.
Therefore, GCD of numbers 332, 177, 20, 410 is 1
Given Input Data is 332, 177, 20, 410
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 332 is 2 x 2 x 83
Prime Factorization of 177 is 3 x 59
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 410 is 2 x 5 x 41
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(332, 177) = 58764
GCD(332, 177) = ( 332 x 177 ) / 58764
GCD(332, 177) = 58764 / 58764
GCD(332, 177) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 20) = 20
GCD(1, 20) = ( 1 x 20 ) / 20
GCD(1, 20) = 20 / 20
GCD(1, 20) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 410
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 410) = 410
GCD(1, 410) = ( 1 x 410 ) / 410
GCD(1, 410) = 410 / 410
GCD(1, 410) = 1
GCD of 332, 177, 20, 410 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 332, 177, 20, 410?
GCD of 332, 177, 20, 410 is 1
2. Where do I get the detailed procedure to find GCD of 332, 177, 20, 410?
You can find a detailed procedure to find GCD of 332, 177, 20, 410 on our page.
3. How to find GCD of 332, 177, 20, 410 on a calculator?
You can find the GCD of 332, 177, 20, 410 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.