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 730, 480, 63, 257 i.e. 1 largest integer that divides all the numbers equally.
GCD of 730, 480, 63, 257 is 1
GCD(730, 480, 63, 257) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 730, 480, 63, 257 is 1
GCD(730, 480, 63, 257) = 1
Given Input numbers are 730, 480, 63, 257
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 257
List of positive integer divisors of 257 that divides 257 without a remainder.
1, 257
Greatest Common Divisior
We found the divisors of 730, 480, 63, 257 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 480, 63, 257 is 1.
Therefore, GCD of numbers 730, 480, 63, 257 is 1
Given Input Data is 730, 480, 63, 257
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 730 is 2 x 5 x 73
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 257 is 257
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(730, 480) = 35040
GCD(730, 480) = ( 730 x 480 ) / 35040
GCD(730, 480) = 350400 / 35040
GCD(730, 480) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 63
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 63) = 630
GCD(10, 63) = ( 10 x 63 ) / 630
GCD(10, 63) = 630 / 630
GCD(10, 63) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 257
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 257) = 257
GCD(1, 257) = ( 1 x 257 ) / 257
GCD(1, 257) = 257 / 257
GCD(1, 257) = 1
GCD of 730, 480, 63, 257 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 730, 480, 63, 257?
GCD of 730, 480, 63, 257 is 1
2. Where do I get the detailed procedure to find GCD of 730, 480, 63, 257?
You can find a detailed procedure to find GCD of 730, 480, 63, 257 on our page.
3. How to find GCD of 730, 480, 63, 257 on a calculator?
You can find the GCD of 730, 480, 63, 257 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.