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 370, 730, 826, 381 i.e. 1 largest integer that divides all the numbers equally.
GCD of 370, 730, 826, 381 is 1
GCD(370, 730, 826, 381) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 370, 730, 826, 381 is 1
GCD(370, 730, 826, 381) = 1
Given Input numbers are 370, 730, 826, 381
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 826
List of positive integer divisors of 826 that divides 826 without a remainder.
1, 2, 7, 14, 59, 118, 413, 826
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 370, 730, 826, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 730, 826, 381 is 1.
Therefore, GCD of numbers 370, 730, 826, 381 is 1
Given Input Data is 370, 730, 826, 381
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 370 is 2 x 5 x 37
Prime Factorization of 730 is 2 x 5 x 73
Prime Factorization of 826 is 2 x 7 x 59
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(370, 730) = 27010
GCD(370, 730) = ( 370 x 730 ) / 27010
GCD(370, 730) = 270100 / 27010
GCD(370, 730) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 826
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 826) = 4130
GCD(10, 826) = ( 10 x 826 ) / 4130
GCD(10, 826) = 8260 / 4130
GCD(10, 826) = 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 370, 730, 826, 381 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 370, 730, 826, 381?
GCD of 370, 730, 826, 381 is 1
2. Where do I get the detailed procedure to find GCD of 370, 730, 826, 381?
You can find a detailed procedure to find GCD of 370, 730, 826, 381 on our page.
3. How to find GCD of 370, 730, 826, 381 on a calculator?
You can find the GCD of 370, 730, 826, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.