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 130, 153, 721, 473 i.e. 1 largest integer that divides all the numbers equally.
GCD of 130, 153, 721, 473 is 1
GCD(130, 153, 721, 473) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 130, 153, 721, 473 is 1
GCD(130, 153, 721, 473) = 1
Given Input numbers are 130, 153, 721, 473
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Divisors of 473
List of positive integer divisors of 473 that divides 473 without a remainder.
1, 11, 43, 473
Greatest Common Divisior
We found the divisors of 130, 153, 721, 473 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 153, 721, 473 is 1.
Therefore, GCD of numbers 130, 153, 721, 473 is 1
Given Input Data is 130, 153, 721, 473
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 130 is 2 x 5 x 13
Prime Factorization of 153 is 3 x 3 x 17
Prime Factorization of 721 is 7 x 103
Prime Factorization of 473 is 11 x 43
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(130, 153) = 19890
GCD(130, 153) = ( 130 x 153 ) / 19890
GCD(130, 153) = 19890 / 19890
GCD(130, 153) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 721
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 721) = 721
GCD(1, 721) = ( 1 x 721 ) / 721
GCD(1, 721) = 721 / 721
GCD(1, 721) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 473
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 473) = 473
GCD(1, 473) = ( 1 x 473 ) / 473
GCD(1, 473) = 473 / 473
GCD(1, 473) = 1
GCD of 130, 153, 721, 473 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 130, 153, 721, 473?
GCD of 130, 153, 721, 473 is 1
2. Where do I get the detailed procedure to find GCD of 130, 153, 721, 473?
You can find a detailed procedure to find GCD of 130, 153, 721, 473 on our page.
3. How to find GCD of 130, 153, 721, 473 on a calculator?
You can find the GCD of 130, 153, 721, 473 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.