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, 768, 253, 665 i.e. 1 largest integer that divides all the numbers equally.
GCD of 20, 768, 253, 665 is 1
GCD(20, 768, 253, 665) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 20, 768, 253, 665 is 1
GCD(20, 768, 253, 665) = 1
Given Input numbers are 20, 768, 253, 665
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 768
List of positive integer divisors of 768 that divides 768 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 253
List of positive integer divisors of 253 that divides 253 without a remainder.
1, 11, 23, 253
Divisors of 665
List of positive integer divisors of 665 that divides 665 without a remainder.
1, 5, 7, 19, 35, 95, 133, 665
Greatest Common Divisior
We found the divisors of 20, 768, 253, 665 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 768, 253, 665 is 1.
Therefore, GCD of numbers 20, 768, 253, 665 is 1
Given Input Data is 20, 768, 253, 665
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 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 253 is 11 x 23
Prime Factorization of 665 is 5 x 7 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(20, 768) = 3840
GCD(20, 768) = ( 20 x 768 ) / 3840
GCD(20, 768) = 15360 / 3840
GCD(20, 768) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 253
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 253) = 1012
GCD(4, 253) = ( 4 x 253 ) / 1012
GCD(4, 253) = 1012 / 1012
GCD(4, 253) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 665
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 665) = 665
GCD(1, 665) = ( 1 x 665 ) / 665
GCD(1, 665) = 665 / 665
GCD(1, 665) = 1
GCD of 20, 768, 253, 665 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 20, 768, 253, 665?
GCD of 20, 768, 253, 665 is 1
2. Where do I get the detailed procedure to find GCD of 20, 768, 253, 665?
You can find a detailed procedure to find GCD of 20, 768, 253, 665 on our page.
3. How to find GCD of 20, 768, 253, 665 on a calculator?
You can find the GCD of 20, 768, 253, 665 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.