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 539, 997, 41, 972 i.e. 1 largest integer that divides all the numbers equally.
GCD of 539, 997, 41, 972 is 1
GCD(539, 997, 41, 972) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 539, 997, 41, 972 is 1
GCD(539, 997, 41, 972) = 1
Given Input numbers are 539, 997, 41, 972
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 539
List of positive integer divisors of 539 that divides 539 without a remainder.
1, 7, 11, 49, 77, 539
Divisors of 997
List of positive integer divisors of 997 that divides 997 without a remainder.
1, 997
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
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 539, 997, 41, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 539, 997, 41, 972 is 1.
Therefore, GCD of numbers 539, 997, 41, 972 is 1
Given Input Data is 539, 997, 41, 972
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 539 is 7 x 7 x 11
Prime Factorization of 997 is 997
Prime Factorization of 41 is 41
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(539, 997) = 537383
GCD(539, 997) = ( 539 x 997 ) / 537383
GCD(539, 997) = 537383 / 537383
GCD(539, 997) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 41) = 41
GCD(1, 41) = ( 1 x 41 ) / 41
GCD(1, 41) = 41 / 41
GCD(1, 41) = 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 539, 997, 41, 972 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 539, 997, 41, 972?
GCD of 539, 997, 41, 972 is 1
2. Where do I get the detailed procedure to find GCD of 539, 997, 41, 972?
You can find a detailed procedure to find GCD of 539, 997, 41, 972 on our page.
3. How to find GCD of 539, 997, 41, 972 on a calculator?
You can find the GCD of 539, 997, 41, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.