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 260, 380, 23, 621 i.e. 1 largest integer that divides all the numbers equally.
GCD of 260, 380, 23, 621 is 1
GCD(260, 380, 23, 621) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 260, 380, 23, 621 is 1
GCD(260, 380, 23, 621) = 1
Given Input numbers are 260, 380, 23, 621
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 260
List of positive integer divisors of 260 that divides 260 without a remainder.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Divisors of 621
List of positive integer divisors of 621 that divides 621 without a remainder.
1, 3, 9, 23, 27, 69, 207, 621
Greatest Common Divisior
We found the divisors of 260, 380, 23, 621 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 380, 23, 621 is 1.
Therefore, GCD of numbers 260, 380, 23, 621 is 1
Given Input Data is 260, 380, 23, 621
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 260 is 2 x 2 x 5 x 13
Prime Factorization of 380 is 2 x 2 x 5 x 19
Prime Factorization of 23 is 23
Prime Factorization of 621 is 3 x 3 x 3 x 23
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(260, 380) = 4940
GCD(260, 380) = ( 260 x 380 ) / 4940
GCD(260, 380) = 98800 / 4940
GCD(260, 380) = 20
Step2:
Here we consider the GCD from the above i.e. 20 as first number and the next as 23
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(20, 23) = 460
GCD(20, 23) = ( 20 x 23 ) / 460
GCD(20, 23) = 460 / 460
GCD(20, 23) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 621
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 621) = 621
GCD(1, 621) = ( 1 x 621 ) / 621
GCD(1, 621) = 621 / 621
GCD(1, 621) = 1
GCD of 260, 380, 23, 621 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 260, 380, 23, 621?
GCD of 260, 380, 23, 621 is 1
2. Where do I get the detailed procedure to find GCD of 260, 380, 23, 621?
You can find a detailed procedure to find GCD of 260, 380, 23, 621 on our page.
3. How to find GCD of 260, 380, 23, 621 on a calculator?
You can find the GCD of 260, 380, 23, 621 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.