GCD of 363, 286, 332 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 363, 286, 332 i.e. 1 largest integer that divides all the numbers equally.
GCD of 363, 286, 332 is 1
GCD(363, 286, 332) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 363, 286, 332 is 1
GCD(363, 286, 332) = 1
GCDof 363,286,332 is 1
Given Input numbers are 363, 286, 332
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 286
List of positive integer divisors of 286 that divides 286 without a remainder.
1, 2, 11, 13, 22, 26, 143, 286
Divisors of 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
Greatest Common Divisior
We found the divisors of 363, 286, 332 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 286, 332 is 1.
Therefore, GCD of numbers 363, 286, 332 is 1
Given Input Data is 363, 286, 332
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 286 is 2 x 11 x 13
Prime Factorization of 332 is 2 x 2 x 83
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 363, 286, 332 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(363, 286) = 9438
GCD(363, 286) = ( 363 x 286 ) / 9438
GCD(363, 286) = 103818 / 9438
GCD(363, 286) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 332
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 332) = 3652
GCD(11, 332) = ( 11 x 332 ) / 3652
GCD(11, 332) = 3652 / 3652
GCD(11, 332) = 1
GCD of 363, 286, 332 is 1
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FAQs on GCD of numbers 363, 286, 332
1. What is the GCD of 363, 286, 332?
GCD of 363, 286, 332 is 1
2. Where do I get the detailed procedure to find GCD of 363, 286, 332?
You can find a detailed procedure to find GCD of 363, 286, 332 on our page.
3. How to find GCD of 363, 286, 332 on a calculator?
You can find the GCD of 363, 286, 332 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
