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 20, 545, 382, 385 i.e. 1 largest integer that divides all the numbers equally.
GCD of 20, 545, 382, 385 is 1
GCD(20, 545, 382, 385) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 20, 545, 382, 385 is 1
GCD(20, 545, 382, 385) = 1
Given Input numbers are 20, 545, 382, 385
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 545
List of positive integer divisors of 545 that divides 545 without a remainder.
1, 5, 109, 545
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Greatest Common Divisior
We found the divisors of 20, 545, 382, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 545, 382, 385 is 1.
Therefore, GCD of numbers 20, 545, 382, 385 is 1
Given Input Data is 20, 545, 382, 385
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 545 is 5 x 109
Prime Factorization of 382 is 2 x 191
Prime Factorization of 385 is 5 x 7 x 11
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(20, 545) = 2180
GCD(20, 545) = ( 20 x 545 ) / 2180
GCD(20, 545) = 10900 / 2180
GCD(20, 545) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 382
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 382) = 1910
GCD(5, 382) = ( 5 x 382 ) / 1910
GCD(5, 382) = 1910 / 1910
GCD(5, 382) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 385
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 385) = 385
GCD(1, 385) = ( 1 x 385 ) / 385
GCD(1, 385) = 385 / 385
GCD(1, 385) = 1
GCD of 20, 545, 382, 385 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 20, 545, 382, 385?
GCD of 20, 545, 382, 385 is 1
2. Where do I get the detailed procedure to find GCD of 20, 545, 382, 385?
You can find a detailed procedure to find GCD of 20, 545, 382, 385 on our page.
3. How to find GCD of 20, 545, 382, 385 on a calculator?
You can find the GCD of 20, 545, 382, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.