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 545, 730, 963, 384 i.e. 1 largest integer that divides all the numbers equally.
GCD of 545, 730, 963, 384 is 1
GCD(545, 730, 963, 384) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 545, 730, 963, 384 is 1
GCD(545, 730, 963, 384) = 1
Given Input numbers are 545, 730, 963, 384
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 545
List of positive integer divisors of 545 that divides 545 without a remainder.
1, 5, 109, 545
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 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Greatest Common Divisior
We found the divisors of 545, 730, 963, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 545, 730, 963, 384 is 1.
Therefore, GCD of numbers 545, 730, 963, 384 is 1
Given Input Data is 545, 730, 963, 384
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 545 is 5 x 109
Prime Factorization of 730 is 2 x 5 x 73
Prime Factorization of 963 is 3 x 3 x 107
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
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(545, 730) = 79570
GCD(545, 730) = ( 545 x 730 ) / 79570
GCD(545, 730) = 397850 / 79570
GCD(545, 730) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 963
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 963) = 4815
GCD(5, 963) = ( 5 x 963 ) / 4815
GCD(5, 963) = 4815 / 4815
GCD(5, 963) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 384
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 384) = 384
GCD(1, 384) = ( 1 x 384 ) / 384
GCD(1, 384) = 384 / 384
GCD(1, 384) = 1
GCD of 545, 730, 963, 384 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 545, 730, 963, 384?
GCD of 545, 730, 963, 384 is 1
2. Where do I get the detailed procedure to find GCD of 545, 730, 963, 384?
You can find a detailed procedure to find GCD of 545, 730, 963, 384 on our page.
3. How to find GCD of 545, 730, 963, 384 on a calculator?
You can find the GCD of 545, 730, 963, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.