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 374, 385, 58, 633 i.e. 1 largest integer that divides all the numbers equally.
GCD of 374, 385, 58, 633 is 1
GCD(374, 385, 58, 633) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 374, 385, 58, 633 is 1
GCD(374, 385, 58, 633) = 1
Given Input numbers are 374, 385, 58, 633
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 633
List of positive integer divisors of 633 that divides 633 without a remainder.
1, 3, 211, 633
Greatest Common Divisior
We found the divisors of 374, 385, 58, 633 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 385, 58, 633 is 1.
Therefore, GCD of numbers 374, 385, 58, 633 is 1
Given Input Data is 374, 385, 58, 633
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 374 is 2 x 11 x 17
Prime Factorization of 385 is 5 x 7 x 11
Prime Factorization of 58 is 2 x 29
Prime Factorization of 633 is 3 x 211
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(374, 385) = 13090
GCD(374, 385) = ( 374 x 385 ) / 13090
GCD(374, 385) = 143990 / 13090
GCD(374, 385) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 58) = 638
GCD(11, 58) = ( 11 x 58 ) / 638
GCD(11, 58) = 638 / 638
GCD(11, 58) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 633
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 633) = 633
GCD(1, 633) = ( 1 x 633 ) / 633
GCD(1, 633) = 633 / 633
GCD(1, 633) = 1
GCD of 374, 385, 58, 633 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 374, 385, 58, 633?
GCD of 374, 385, 58, 633 is 1
2. Where do I get the detailed procedure to find GCD of 374, 385, 58, 633?
You can find a detailed procedure to find GCD of 374, 385, 58, 633 on our page.
3. How to find GCD of 374, 385, 58, 633 on a calculator?
You can find the GCD of 374, 385, 58, 633 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.