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 358, 794, 45 i.e. 1 largest integer that divides all the numbers equally.
GCD of 358, 794, 45 is 1
GCD(358, 794, 45) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 358, 794, 45 is 1
GCD(358, 794, 45) = 1
Given Input numbers are 358, 794, 45
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 358
List of positive integer divisors of 358 that divides 358 without a remainder.
1, 2, 179, 358
Divisors of 794
List of positive integer divisors of 794 that divides 794 without a remainder.
1, 2, 397, 794
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Greatest Common Divisior
We found the divisors of 358, 794, 45 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 358, 794, 45 is 1.
Therefore, GCD of numbers 358, 794, 45 is 1
Given Input Data is 358, 794, 45
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 358 is 2 x 179
Prime Factorization of 794 is 2 x 397
Prime Factorization of 45 is 3 x 3 x 5
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(358, 794) = 142126
GCD(358, 794) = ( 358 x 794 ) / 142126
GCD(358, 794) = 284252 / 142126
GCD(358, 794) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 45) = 90
GCD(2, 45) = ( 2 x 45 ) / 90
GCD(2, 45) = 90 / 90
GCD(2, 45) = 1
GCD of 358, 794, 45 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 358, 794, 45?
GCD of 358, 794, 45 is 1
2. Where do I get the detailed procedure to find GCD of 358, 794, 45?
You can find a detailed procedure to find GCD of 358, 794, 45 on our page.
3. How to find GCD of 358, 794, 45 on a calculator?
You can find the GCD of 358, 794, 45 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.