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 731, 285, 337, 972 i.e. 1 largest integer that divides all the numbers equally.
GCD of 731, 285, 337, 972 is 1
GCD(731, 285, 337, 972) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 731, 285, 337, 972 is 1
GCD(731, 285, 337, 972) = 1
Given Input numbers are 731, 285, 337, 972
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Divisors of 285
List of positive integer divisors of 285 that divides 285 without a remainder.
1, 3, 5, 15, 19, 57, 95, 285
Divisors of 337
List of positive integer divisors of 337 that divides 337 without a remainder.
1, 337
Divisors of 972
List of positive integer divisors of 972 that divides 972 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Greatest Common Divisior
We found the divisors of 731, 285, 337, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 731, 285, 337, 972 is 1.
Therefore, GCD of numbers 731, 285, 337, 972 is 1
Given Input Data is 731, 285, 337, 972
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 731 is 17 x 43
Prime Factorization of 285 is 3 x 5 x 19
Prime Factorization of 337 is 337
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
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(731, 285) = 208335
GCD(731, 285) = ( 731 x 285 ) / 208335
GCD(731, 285) = 208335 / 208335
GCD(731, 285) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 337
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 337) = 337
GCD(1, 337) = ( 1 x 337 ) / 337
GCD(1, 337) = 337 / 337
GCD(1, 337) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 972
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
GCD(1, 972) = 972 / 972
GCD(1, 972) = 1
GCD of 731, 285, 337, 972 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 731, 285, 337, 972?
GCD of 731, 285, 337, 972 is 1
2. Where do I get the detailed procedure to find GCD of 731, 285, 337, 972?
You can find a detailed procedure to find GCD of 731, 285, 337, 972 on our page.
3. How to find GCD of 731, 285, 337, 972 on a calculator?
You can find the GCD of 731, 285, 337, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.