GCD of 402, 309, 311 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 402, 309, 311 i.e. 1 largest integer that divides all the numbers equally.
GCD of 402, 309, 311 is 1
GCD(402, 309, 311) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 402, 309, 311 is 1
GCD(402, 309, 311) = 1
GCDof 402,309,311 is 1
Given Input numbers are 402, 309, 311
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Divisors of 311
List of positive integer divisors of 311 that divides 311 without a remainder.
1, 311
Greatest Common Divisior
We found the divisors of 402, 309, 311 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 309, 311 is 1.
Therefore, GCD of numbers 402, 309, 311 is 1
Given Input Data is 402, 309, 311
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 309 is 3 x 103
Prime Factorization of 311 is 311
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 402, 309, 311 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(402, 309) = 41406
GCD(402, 309) = ( 402 x 309 ) / 41406
GCD(402, 309) = 124218 / 41406
GCD(402, 309) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 311
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 311) = 933
GCD(3, 311) = ( 3 x 311 ) / 933
GCD(3, 311) = 933 / 933
GCD(3, 311) = 1
GCD of 402, 309, 311 is 1
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FAQs on GCD of numbers 402, 309, 311
1. What is the GCD of 402, 309, 311?
GCD of 402, 309, 311 is 1
2. Where do I get the detailed procedure to find GCD of 402, 309, 311?
You can find a detailed procedure to find GCD of 402, 309, 311 on our page.
3. How to find GCD of 402, 309, 311 on a calculator?
You can find the GCD of 402, 309, 311 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.