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, 971, 96, 539 i.e. 1 largest integer that divides all the numbers equally.
GCD of 731, 971, 96, 539 is 1
GCD(731, 971, 96, 539) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 731, 971, 96, 539 is 1
GCD(731, 971, 96, 539) = 1
Given Input numbers are 731, 971, 96, 539
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 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 539
List of positive integer divisors of 539 that divides 539 without a remainder.
1, 7, 11, 49, 77, 539
Greatest Common Divisior
We found the divisors of 731, 971, 96, 539 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 731, 971, 96, 539 is 1.
Therefore, GCD of numbers 731, 971, 96, 539 is 1
Given Input Data is 731, 971, 96, 539
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 731 is 17 x 43
Prime Factorization of 971 is 971
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 539 is 7 x 7 x 11
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, 971) = 709801
GCD(731, 971) = ( 731 x 971 ) / 709801
GCD(731, 971) = 709801 / 709801
GCD(731, 971) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 96) = 96
GCD(1, 96) = ( 1 x 96 ) / 96
GCD(1, 96) = 96 / 96
GCD(1, 96) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 539
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 539) = 539
GCD(1, 539) = ( 1 x 539 ) / 539
GCD(1, 539) = 539 / 539
GCD(1, 539) = 1
GCD of 731, 971, 96, 539 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 731, 971, 96, 539?
GCD of 731, 971, 96, 539 is 1
2. Where do I get the detailed procedure to find GCD of 731, 971, 96, 539?
You can find a detailed procedure to find GCD of 731, 971, 96, 539 on our page.
3. How to find GCD of 731, 971, 96, 539 on a calculator?
You can find the GCD of 731, 971, 96, 539 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.