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 58, 325, 803, 374 i.e. 1 largest integer that divides all the numbers equally.
GCD of 58, 325, 803, 374 is 1
GCD(58, 325, 803, 374) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 58, 325, 803, 374 is 1
GCD(58, 325, 803, 374) = 1
Given Input numbers are 58, 325, 803, 374
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 325
List of positive integer divisors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
Divisors of 803
List of positive integer divisors of 803 that divides 803 without a remainder.
1, 11, 73, 803
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Greatest Common Divisior
We found the divisors of 58, 325, 803, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 325, 803, 374 is 1.
Therefore, GCD of numbers 58, 325, 803, 374 is 1
Given Input Data is 58, 325, 803, 374
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 58 is 2 x 29
Prime Factorization of 325 is 5 x 5 x 13
Prime Factorization of 803 is 11 x 73
Prime Factorization of 374 is 2 x 11 x 17
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(58, 325) = 18850
GCD(58, 325) = ( 58 x 325 ) / 18850
GCD(58, 325) = 18850 / 18850
GCD(58, 325) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 803
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 803) = 803
GCD(1, 803) = ( 1 x 803 ) / 803
GCD(1, 803) = 803 / 803
GCD(1, 803) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 374
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 374) = 374
GCD(1, 374) = ( 1 x 374 ) / 374
GCD(1, 374) = 374 / 374
GCD(1, 374) = 1
GCD of 58, 325, 803, 374 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 58, 325, 803, 374?
GCD of 58, 325, 803, 374 is 1
2. Where do I get the detailed procedure to find GCD of 58, 325, 803, 374?
You can find a detailed procedure to find GCD of 58, 325, 803, 374 on our page.
3. How to find GCD of 58, 325, 803, 374 on a calculator?
You can find the GCD of 58, 325, 803, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.