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 838, 754, 290, 381 i.e. 1 largest integer that divides all the numbers equally.
GCD of 838, 754, 290, 381 is 1
GCD(838, 754, 290, 381) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 838, 754, 290, 381 is 1
GCD(838, 754, 290, 381) = 1
Given Input numbers are 838, 754, 290, 381
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 838
List of positive integer divisors of 838 that divides 838 without a remainder.
1, 2, 419, 838
Divisors of 754
List of positive integer divisors of 754 that divides 754 without a remainder.
1, 2, 13, 26, 29, 58, 377, 754
Divisors of 290
List of positive integer divisors of 290 that divides 290 without a remainder.
1, 2, 5, 10, 29, 58, 145, 290
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 838, 754, 290, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 754, 290, 381 is 1.
Therefore, GCD of numbers 838, 754, 290, 381 is 1
Given Input Data is 838, 754, 290, 381
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 838 is 2 x 419
Prime Factorization of 754 is 2 x 13 x 29
Prime Factorization of 290 is 2 x 5 x 29
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(838, 754) = 315926
GCD(838, 754) = ( 838 x 754 ) / 315926
GCD(838, 754) = 631852 / 315926
GCD(838, 754) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 290
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 290) = 290
GCD(2, 290) = ( 2 x 290 ) / 290
GCD(2, 290) = 580 / 290
GCD(2, 290) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 381
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 381) = 762
GCD(2, 381) = ( 2 x 381 ) / 762
GCD(2, 381) = 762 / 762
GCD(2, 381) = 1
GCD of 838, 754, 290, 381 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 838, 754, 290, 381?
GCD of 838, 754, 290, 381 is 1
2. Where do I get the detailed procedure to find GCD of 838, 754, 290, 381?
You can find a detailed procedure to find GCD of 838, 754, 290, 381 on our page.
3. How to find GCD of 838, 754, 290, 381 on a calculator?
You can find the GCD of 838, 754, 290, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.