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 289, 812, 725, 736 i.e. 1 largest integer that divides all the numbers equally.
GCD of 289, 812, 725, 736 is 1
GCD(289, 812, 725, 736) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 289, 812, 725, 736 is 1
GCD(289, 812, 725, 736) = 1
Given Input numbers are 289, 812, 725, 736
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Divisors of 812
List of positive integer divisors of 812 that divides 812 without a remainder.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 725
List of positive integer divisors of 725 that divides 725 without a remainder.
1, 5, 25, 29, 145, 725
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Greatest Common Divisior
We found the divisors of 289, 812, 725, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 812, 725, 736 is 1.
Therefore, GCD of numbers 289, 812, 725, 736 is 1
Given Input Data is 289, 812, 725, 736
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 289 is 17 x 17
Prime Factorization of 812 is 2 x 2 x 7 x 29
Prime Factorization of 725 is 5 x 5 x 29
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
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(289, 812) = 234668
GCD(289, 812) = ( 289 x 812 ) / 234668
GCD(289, 812) = 234668 / 234668
GCD(289, 812) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 725
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 725) = 725
GCD(1, 725) = ( 1 x 725 ) / 725
GCD(1, 725) = 725 / 725
GCD(1, 725) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 736
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 736) = 736
GCD(1, 736) = ( 1 x 736 ) / 736
GCD(1, 736) = 736 / 736
GCD(1, 736) = 1
GCD of 289, 812, 725, 736 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 289, 812, 725, 736?
GCD of 289, 812, 725, 736 is 1
2. Where do I get the detailed procedure to find GCD of 289, 812, 725, 736?
You can find a detailed procedure to find GCD of 289, 812, 725, 736 on our page.
3. How to find GCD of 289, 812, 725, 736 on a calculator?
You can find the GCD of 289, 812, 725, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.