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 674, 647, 18, 381 i.e. 1 largest integer that divides all the numbers equally.
GCD of 674, 647, 18, 381 is 1
GCD(674, 647, 18, 381) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 674, 647, 18, 381 is 1
GCD(674, 647, 18, 381) = 1
Given Input numbers are 674, 647, 18, 381
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
Divisors of 647
List of positive integer divisors of 647 that divides 647 without a remainder.
1, 647
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Greatest Common Divisior
We found the divisors of 674, 647, 18, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 647, 18, 381 is 1.
Therefore, GCD of numbers 674, 647, 18, 381 is 1
Given Input Data is 674, 647, 18, 381
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 674 is 2 x 337
Prime Factorization of 647 is 647
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 381 is 3 x 127
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(674, 647) = 436078
GCD(674, 647) = ( 674 x 647 ) / 436078
GCD(674, 647) = 436078 / 436078
GCD(674, 647) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 18) = 18
GCD(1, 18) = ( 1 x 18 ) / 18
GCD(1, 18) = 18 / 18
GCD(1, 18) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 381
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 381) = 381
GCD(1, 381) = ( 1 x 381 ) / 381
GCD(1, 381) = 381 / 381
GCD(1, 381) = 1
GCD of 674, 647, 18, 381 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 674, 647, 18, 381?
GCD of 674, 647, 18, 381 is 1
2. Where do I get the detailed procedure to find GCD of 674, 647, 18, 381?
You can find a detailed procedure to find GCD of 674, 647, 18, 381 on our page.
3. How to find GCD of 674, 647, 18, 381 on a calculator?
You can find the GCD of 674, 647, 18, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.