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 458, 392, 572, 793 i.e. 1 largest integer that divides all the numbers equally.
GCD of 458, 392, 572, 793 is 1
GCD(458, 392, 572, 793) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 458, 392, 572, 793 is 1
GCD(458, 392, 572, 793) = 1
Given Input numbers are 458, 392, 572, 793
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 458
List of positive integer divisors of 458 that divides 458 without a remainder.
1, 2, 229, 458
Divisors of 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 572
List of positive integer divisors of 572 that divides 572 without a remainder.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Divisors of 793
List of positive integer divisors of 793 that divides 793 without a remainder.
1, 13, 61, 793
Greatest Common Divisior
We found the divisors of 458, 392, 572, 793 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 458, 392, 572, 793 is 1.
Therefore, GCD of numbers 458, 392, 572, 793 is 1
Given Input Data is 458, 392, 572, 793
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 458 is 2 x 229
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
Prime Factorization of 572 is 2 x 2 x 11 x 13
Prime Factorization of 793 is 13 x 61
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(458, 392) = 89768
GCD(458, 392) = ( 458 x 392 ) / 89768
GCD(458, 392) = 179536 / 89768
GCD(458, 392) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 572
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 572) = 572
GCD(2, 572) = ( 2 x 572 ) / 572
GCD(2, 572) = 1144 / 572
GCD(2, 572) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 793
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 793) = 1586
GCD(2, 793) = ( 2 x 793 ) / 1586
GCD(2, 793) = 1586 / 1586
GCD(2, 793) = 1
GCD of 458, 392, 572, 793 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 458, 392, 572, 793?
GCD of 458, 392, 572, 793 is 1
2. Where do I get the detailed procedure to find GCD of 458, 392, 572, 793?
You can find a detailed procedure to find GCD of 458, 392, 572, 793 on our page.
3. How to find GCD of 458, 392, 572, 793 on a calculator?
You can find the GCD of 458, 392, 572, 793 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.