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 997, 953, 72, 273 i.e. 1 largest integer that divides all the numbers equally.
GCD of 997, 953, 72, 273 is 1
GCD(997, 953, 72, 273) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 997, 953, 72, 273 is 1
GCD(997, 953, 72, 273) = 1
Given Input numbers are 997, 953, 72, 273
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 997
List of positive integer divisors of 997 that divides 997 without a remainder.
1, 997
Divisors of 953
List of positive integer divisors of 953 that divides 953 without a remainder.
1, 953
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 273
List of positive integer divisors of 273 that divides 273 without a remainder.
1, 3, 7, 13, 21, 39, 91, 273
Greatest Common Divisior
We found the divisors of 997, 953, 72, 273 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 997, 953, 72, 273 is 1.
Therefore, GCD of numbers 997, 953, 72, 273 is 1
Given Input Data is 997, 953, 72, 273
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 997 is 997
Prime Factorization of 953 is 953
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 273 is 3 x 7 x 13
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(997, 953) = 950141
GCD(997, 953) = ( 997 x 953 ) / 950141
GCD(997, 953) = 950141 / 950141
GCD(997, 953) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 273
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 273) = 273
GCD(1, 273) = ( 1 x 273 ) / 273
GCD(1, 273) = 273 / 273
GCD(1, 273) = 1
GCD of 997, 953, 72, 273 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 997, 953, 72, 273?
GCD of 997, 953, 72, 273 is 1
2. Where do I get the detailed procedure to find GCD of 997, 953, 72, 273?
You can find a detailed procedure to find GCD of 997, 953, 72, 273 on our page.
3. How to find GCD of 997, 953, 72, 273 on a calculator?
You can find the GCD of 997, 953, 72, 273 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.