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 483, 496, 61, 730 i.e. 1 largest integer that divides all the numbers equally.
GCD of 483, 496, 61, 730 is 1
GCD(483, 496, 61, 730) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 483, 496, 61, 730 is 1
GCD(483, 496, 61, 730) = 1
Given Input numbers are 483, 496, 61, 730
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 483
List of positive integer divisors of 483 that divides 483 without a remainder.
1, 3, 7, 21, 23, 69, 161, 483
Divisors of 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Greatest Common Divisior
We found the divisors of 483, 496, 61, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 483, 496, 61, 730 is 1.
Therefore, GCD of numbers 483, 496, 61, 730 is 1
Given Input Data is 483, 496, 61, 730
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 483 is 3 x 7 x 23
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
Prime Factorization of 61 is 61
Prime Factorization of 730 is 2 x 5 x 73
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(483, 496) = 239568
GCD(483, 496) = ( 483 x 496 ) / 239568
GCD(483, 496) = 239568 / 239568
GCD(483, 496) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 61) = 61
GCD(1, 61) = ( 1 x 61 ) / 61
GCD(1, 61) = 61 / 61
GCD(1, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 730
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 730) = 730
GCD(1, 730) = ( 1 x 730 ) / 730
GCD(1, 730) = 730 / 730
GCD(1, 730) = 1
GCD of 483, 496, 61, 730 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 483, 496, 61, 730?
GCD of 483, 496, 61, 730 is 1
2. Where do I get the detailed procedure to find GCD of 483, 496, 61, 730?
You can find a detailed procedure to find GCD of 483, 496, 61, 730 on our page.
3. How to find GCD of 483, 496, 61, 730 on a calculator?
You can find the GCD of 483, 496, 61, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.