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, 179, 21, 400 i.e. 1 largest integer that divides all the numbers equally.
GCD of 260, 179, 21, 400 is 1
GCD(260, 179, 21, 400) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 260, 179, 21, 400 is 1
GCD(260, 179, 21, 400) = 1
Given Input numbers are 260, 179, 21, 400
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 179
List of positive integer divisors of 179 that divides 179 without a remainder.
1, 179
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 400
List of positive integer divisors of 400 that divides 400 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Greatest Common Divisior
We found the divisors of 260, 179, 21, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 179, 21, 400 is 1.
Therefore, GCD of numbers 260, 179, 21, 400 is 1
Given Input Data is 260, 179, 21, 400
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 179 is 179
Prime Factorization of 21 is 3 x 7
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5
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, 179) = 46540
GCD(260, 179) = ( 260 x 179 ) / 46540
GCD(260, 179) = 46540 / 46540
GCD(260, 179) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 21) = 21
GCD(1, 21) = ( 1 x 21 ) / 21
GCD(1, 21) = 21 / 21
GCD(1, 21) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 400
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
GCD(1, 400) = 400 / 400
GCD(1, 400) = 1
GCD of 260, 179, 21, 400 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 260, 179, 21, 400?
GCD of 260, 179, 21, 400 is 1
2. Where do I get the detailed procedure to find GCD of 260, 179, 21, 400?
You can find a detailed procedure to find GCD of 260, 179, 21, 400 on our page.
3. How to find GCD of 260, 179, 21, 400 on a calculator?
You can find the GCD of 260, 179, 21, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.