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 383, 402, 73, 458 i.e. 1 largest integer that divides all the numbers equally.
GCD of 383, 402, 73, 458 is 1
GCD(383, 402, 73, 458) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 383, 402, 73, 458 is 1
GCD(383, 402, 73, 458) = 1
Given Input numbers are 383, 402, 73, 458
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 383
List of positive integer divisors of 383 that divides 383 without a remainder.
1, 383
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 458
List of positive integer divisors of 458 that divides 458 without a remainder.
1, 2, 229, 458
Greatest Common Divisior
We found the divisors of 383, 402, 73, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 383, 402, 73, 458 is 1.
Therefore, GCD of numbers 383, 402, 73, 458 is 1
Given Input Data is 383, 402, 73, 458
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 383 is 383
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 73 is 73
Prime Factorization of 458 is 2 x 229
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(383, 402) = 153966
GCD(383, 402) = ( 383 x 402 ) / 153966
GCD(383, 402) = 153966 / 153966
GCD(383, 402) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 73) = 73
GCD(1, 73) = ( 1 x 73 ) / 73
GCD(1, 73) = 73 / 73
GCD(1, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 458
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 458) = 458
GCD(1, 458) = ( 1 x 458 ) / 458
GCD(1, 458) = 458 / 458
GCD(1, 458) = 1
GCD of 383, 402, 73, 458 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 383, 402, 73, 458?
GCD of 383, 402, 73, 458 is 1
2. Where do I get the detailed procedure to find GCD of 383, 402, 73, 458?
You can find a detailed procedure to find GCD of 383, 402, 73, 458 on our page.
3. How to find GCD of 383, 402, 73, 458 on a calculator?
You can find the GCD of 383, 402, 73, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.