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, 829, 76, 730 i.e. 1 largest integer that divides all the numbers equally.
GCD of 370, 829, 76, 730 is 1
GCD(370, 829, 76, 730) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 370, 829, 76, 730 is 1
GCD(370, 829, 76, 730) = 1
Given Input numbers are 370, 829, 76, 730
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 829
List of positive integer divisors of 829 that divides 829 without a remainder.
1, 829
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Greatest Common Divisior
We found the divisors of 370, 829, 76, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 829, 76, 730 is 1.
Therefore, GCD of numbers 370, 829, 76, 730 is 1
Given Input Data is 370, 829, 76, 730
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 829 is 829
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 730 is 2 x 5 x 73
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, 829) = 306730
GCD(370, 829) = ( 370 x 829 ) / 306730
GCD(370, 829) = 306730 / 306730
GCD(370, 829) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 76) = 76
GCD(1, 76) = ( 1 x 76 ) / 76
GCD(1, 76) = 76 / 76
GCD(1, 76) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 730
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 730) = 730
GCD(1, 730) = ( 1 x 730 ) / 730
GCD(1, 730) = 730 / 730
GCD(1, 730) = 1
GCD of 370, 829, 76, 730 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 370, 829, 76, 730?
GCD of 370, 829, 76, 730 is 1
2. Where do I get the detailed procedure to find GCD of 370, 829, 76, 730?
You can find a detailed procedure to find GCD of 370, 829, 76, 730 on our page.
3. How to find GCD of 370, 829, 76, 730 on a calculator?
You can find the GCD of 370, 829, 76, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.