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 685, 734, 288, 447 i.e. 1 largest integer that divides all the numbers equally.
GCD of 685, 734, 288, 447 is 1
GCD(685, 734, 288, 447) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 685, 734, 288, 447 is 1
GCD(685, 734, 288, 447) = 1
Given Input numbers are 685, 734, 288, 447
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 685
List of positive integer divisors of 685 that divides 685 without a remainder.
1, 5, 137, 685
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Divisors of 288
List of positive integer divisors of 288 that divides 288 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 447
List of positive integer divisors of 447 that divides 447 without a remainder.
1, 3, 149, 447
Greatest Common Divisior
We found the divisors of 685, 734, 288, 447 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 685, 734, 288, 447 is 1.
Therefore, GCD of numbers 685, 734, 288, 447 is 1
Given Input Data is 685, 734, 288, 447
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 685 is 5 x 137
Prime Factorization of 734 is 2 x 367
Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 447 is 3 x 149
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(685, 734) = 502790
GCD(685, 734) = ( 685 x 734 ) / 502790
GCD(685, 734) = 502790 / 502790
GCD(685, 734) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 288
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 288) = 288
GCD(1, 288) = ( 1 x 288 ) / 288
GCD(1, 288) = 288 / 288
GCD(1, 288) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 447
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 447) = 447
GCD(1, 447) = ( 1 x 447 ) / 447
GCD(1, 447) = 447 / 447
GCD(1, 447) = 1
GCD of 685, 734, 288, 447 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 685, 734, 288, 447?
GCD of 685, 734, 288, 447 is 1
2. Where do I get the detailed procedure to find GCD of 685, 734, 288, 447?
You can find a detailed procedure to find GCD of 685, 734, 288, 447 on our page.
3. How to find GCD of 685, 734, 288, 447 on a calculator?
You can find the GCD of 685, 734, 288, 447 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.