GCD of 367, 827, 75 Calculator
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 367, 827, 75 i.e. 1 largest integer that divides all the numbers equally.
GCD of 367, 827, 75 is 1
GCD(367, 827, 75) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 367, 827, 75 is 1
GCD(367, 827, 75) = 1
GCDof 367,827,75 is 1
Given Input numbers are 367, 827, 75
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 367
List of positive integer divisors of 367 that divides 367 without a remainder.
1, 367
Divisors of 827
List of positive integer divisors of 827 that divides 827 without a remainder.
1, 827
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Greatest Common Divisior
We found the divisors of 367, 827, 75 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 367, 827, 75 is 1.
Therefore, GCD of numbers 367, 827, 75 is 1
Given Input Data is 367, 827, 75
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 367 is 367
Prime Factorization of 827 is 827
Prime Factorization of 75 is 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 367, 827, 75 using LCM Formula
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(367, 827) = 303509
GCD(367, 827) = ( 367 x 827 ) / 303509
GCD(367, 827) = 303509 / 303509
GCD(367, 827) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 75) = 75
GCD(1, 75) = ( 1 x 75 ) / 75
GCD(1, 75) = 75 / 75
GCD(1, 75) = 1
GCD of 367, 827, 75 is 1
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FAQs on GCD of numbers 367, 827, 75
1. What is the GCD of 367, 827, 75?
GCD of 367, 827, 75 is 1
2. Where do I get the detailed procedure to find GCD of 367, 827, 75?
You can find a detailed procedure to find GCD of 367, 827, 75 on our page.
3. How to find GCD of 367, 827, 75 on a calculator?
You can find the GCD of 367, 827, 75 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.