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 421, 692, 446 i.e. 1 largest integer that divides all the numbers equally.
GCD of 421, 692, 446 is 1
GCD(421, 692, 446) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 421, 692, 446 is 1
GCD(421, 692, 446) = 1
Given Input numbers are 421, 692, 446
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 421
List of positive integer divisors of 421 that divides 421 without a remainder.
1, 421
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Divisors of 446
List of positive integer divisors of 446 that divides 446 without a remainder.
1, 2, 223, 446
Greatest Common Divisior
We found the divisors of 421, 692, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 692, 446 is 1.
Therefore, GCD of numbers 421, 692, 446 is 1
Given Input Data is 421, 692, 446
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 421 is 421
Prime Factorization of 692 is 2 x 2 x 173
Prime Factorization of 446 is 2 x 223
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(421, 692) = 291332
GCD(421, 692) = ( 421 x 692 ) / 291332
GCD(421, 692) = 291332 / 291332
GCD(421, 692) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 446
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 446) = 446
GCD(1, 446) = ( 1 x 446 ) / 446
GCD(1, 446) = 446 / 446
GCD(1, 446) = 1
GCD of 421, 692, 446 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 421, 692, 446?
GCD of 421, 692, 446 is 1
2. Where do I get the detailed procedure to find GCD of 421, 692, 446?
You can find a detailed procedure to find GCD of 421, 692, 446 on our page.
3. How to find GCD of 421, 692, 446 on a calculator?
You can find the GCD of 421, 692, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.