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 835, 975, 764, 730 i.e. 1 largest integer that divides all the numbers equally.
GCD of 835, 975, 764, 730 is 1
GCD(835, 975, 764, 730) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 835, 975, 764, 730 is 1
GCD(835, 975, 764, 730) = 1
Given Input numbers are 835, 975, 764, 730
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 835
List of positive integer divisors of 835 that divides 835 without a remainder.
1, 5, 167, 835
Divisors of 975
List of positive integer divisors of 975 that divides 975 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
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 835, 975, 764, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 835, 975, 764, 730 is 1.
Therefore, GCD of numbers 835, 975, 764, 730 is 1
Given Input Data is 835, 975, 764, 730
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 835 is 5 x 167
Prime Factorization of 975 is 3 x 5 x 5 x 13
Prime Factorization of 764 is 2 x 2 x 191
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(835, 975) = 162825
GCD(835, 975) = ( 835 x 975 ) / 162825
GCD(835, 975) = 814125 / 162825
GCD(835, 975) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 764
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 764) = 3820
GCD(5, 764) = ( 5 x 764 ) / 3820
GCD(5, 764) = 3820 / 3820
GCD(5, 764) = 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 835, 975, 764, 730 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 835, 975, 764, 730?
GCD of 835, 975, 764, 730 is 1
2. Where do I get the detailed procedure to find GCD of 835, 975, 764, 730?
You can find a detailed procedure to find GCD of 835, 975, 764, 730 on our page.
3. How to find GCD of 835, 975, 764, 730 on a calculator?
You can find the GCD of 835, 975, 764, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.