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 730, 696, 759, 475 i.e. 1 largest integer that divides all the numbers equally.
GCD of 730, 696, 759, 475 is 1
GCD(730, 696, 759, 475) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 730, 696, 759, 475 is 1
GCD(730, 696, 759, 475) = 1
Given Input numbers are 730, 696, 759, 475
To find the GCD of numbers using factoring list out all the divisors of each number
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 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 759
List of positive integer divisors of 759 that divides 759 without a remainder.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 475
List of positive integer divisors of 475 that divides 475 without a remainder.
1, 5, 19, 25, 95, 475
Greatest Common Divisior
We found the divisors of 730, 696, 759, 475 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 696, 759, 475 is 1.
Therefore, GCD of numbers 730, 696, 759, 475 is 1
Given Input Data is 730, 696, 759, 475
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 730 is 2 x 5 x 73
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
Prime Factorization of 759 is 3 x 11 x 23
Prime Factorization of 475 is 5 x 5 x 19
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(730, 696) = 254040
GCD(730, 696) = ( 730 x 696 ) / 254040
GCD(730, 696) = 508080 / 254040
GCD(730, 696) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 759
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 759) = 1518
GCD(2, 759) = ( 2 x 759 ) / 1518
GCD(2, 759) = 1518 / 1518
GCD(2, 759) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 475
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 475) = 475
GCD(1, 475) = ( 1 x 475 ) / 475
GCD(1, 475) = 475 / 475
GCD(1, 475) = 1
GCD of 730, 696, 759, 475 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 730, 696, 759, 475?
GCD of 730, 696, 759, 475 is 1
2. Where do I get the detailed procedure to find GCD of 730, 696, 759, 475?
You can find a detailed procedure to find GCD of 730, 696, 759, 475 on our page.
3. How to find GCD of 730, 696, 759, 475 on a calculator?
You can find the GCD of 730, 696, 759, 475 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.