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 843, 574, 81, 349 i.e. 1 largest integer that divides all the numbers equally.
GCD of 843, 574, 81, 349 is 1
GCD(843, 574, 81, 349) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 843, 574, 81, 349 is 1
GCD(843, 574, 81, 349) = 1
Given Input numbers are 843, 574, 81, 349
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Divisors of 574
List of positive integer divisors of 574 that divides 574 without a remainder.
1, 2, 7, 14, 41, 82, 287, 574
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Greatest Common Divisior
We found the divisors of 843, 574, 81, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 843, 574, 81, 349 is 1.
Therefore, GCD of numbers 843, 574, 81, 349 is 1
Given Input Data is 843, 574, 81, 349
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 843 is 3 x 281
Prime Factorization of 574 is 2 x 7 x 41
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 349 is 349
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(843, 574) = 483882
GCD(843, 574) = ( 843 x 574 ) / 483882
GCD(843, 574) = 483882 / 483882
GCD(843, 574) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 81) = 81
GCD(1, 81) = ( 1 x 81 ) / 81
GCD(1, 81) = 81 / 81
GCD(1, 81) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 349
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 349) = 349
GCD(1, 349) = ( 1 x 349 ) / 349
GCD(1, 349) = 349 / 349
GCD(1, 349) = 1
GCD of 843, 574, 81, 349 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 843, 574, 81, 349?
GCD of 843, 574, 81, 349 is 1
2. Where do I get the detailed procedure to find GCD of 843, 574, 81, 349?
You can find a detailed procedure to find GCD of 843, 574, 81, 349 on our page.
3. How to find GCD of 843, 574, 81, 349 on a calculator?
You can find the GCD of 843, 574, 81, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.