GCD of 363, 123, 742 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, 123, 742 i.e. 1 largest integer that divides all the numbers equally.
GCD of 363, 123, 742 is 1
GCD(363, 123, 742) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 363, 123, 742 is 1
GCD(363, 123, 742) = 1
GCDof 363,123,742 is 1
Given Input numbers are 363, 123, 742
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 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Divisors of 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Greatest Common Divisior
We found the divisors of 363, 123, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 123, 742 is 1.
Therefore, GCD of numbers 363, 123, 742 is 1
Given Input Data is 363, 123, 742
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 123 is 3 x 41
Prime Factorization of 742 is 2 x 7 x 53
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 363, 123, 742 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, 123) = 14883
GCD(363, 123) = ( 363 x 123 ) / 14883
GCD(363, 123) = 44649 / 14883
GCD(363, 123) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 742
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 742) = 2226
GCD(3, 742) = ( 3 x 742 ) / 2226
GCD(3, 742) = 2226 / 2226
GCD(3, 742) = 1
GCD of 363, 123, 742 is 1
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FAQs on GCD of numbers 363, 123, 742
1. What is the GCD of 363, 123, 742?
GCD of 363, 123, 742 is 1
2. Where do I get the detailed procedure to find GCD of 363, 123, 742?
You can find a detailed procedure to find GCD of 363, 123, 742 on our page.
3. How to find GCD of 363, 123, 742 on a calculator?
You can find the GCD of 363, 123, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.