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 369, 674, 329, 281 i.e. 1 largest integer that divides all the numbers equally.
GCD of 369, 674, 329, 281 is 1
GCD(369, 674, 329, 281) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 369, 674, 329, 281 is 1
GCD(369, 674, 329, 281) = 1
Given Input numbers are 369, 674, 329, 281
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
Divisors of 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Divisors of 281
List of positive integer divisors of 281 that divides 281 without a remainder.
1, 281
Greatest Common Divisior
We found the divisors of 369, 674, 329, 281 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 674, 329, 281 is 1.
Therefore, GCD of numbers 369, 674, 329, 281 is 1
Given Input Data is 369, 674, 329, 281
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 674 is 2 x 337
Prime Factorization of 329 is 7 x 47
Prime Factorization of 281 is 281
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(369, 674) = 248706
GCD(369, 674) = ( 369 x 674 ) / 248706
GCD(369, 674) = 248706 / 248706
GCD(369, 674) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 329
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 329) = 329
GCD(1, 329) = ( 1 x 329 ) / 329
GCD(1, 329) = 329 / 329
GCD(1, 329) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 281
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 281) = 281
GCD(1, 281) = ( 1 x 281 ) / 281
GCD(1, 281) = 281 / 281
GCD(1, 281) = 1
GCD of 369, 674, 329, 281 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 369, 674, 329, 281?
GCD of 369, 674, 329, 281 is 1
2. Where do I get the detailed procedure to find GCD of 369, 674, 329, 281?
You can find a detailed procedure to find GCD of 369, 674, 329, 281 on our page.
3. How to find GCD of 369, 674, 329, 281 on a calculator?
You can find the GCD of 369, 674, 329, 281 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.