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 273, 274, 997, 625 i.e. 1 largest integer that divides all the numbers equally.
GCD of 273, 274, 997, 625 is 1
GCD(273, 274, 997, 625) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 273, 274, 997, 625 is 1
GCD(273, 274, 997, 625) = 1
Given Input numbers are 273, 274, 997, 625
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 273
List of positive integer divisors of 273 that divides 273 without a remainder.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 274
List of positive integer divisors of 274 that divides 274 without a remainder.
1, 2, 137, 274
Divisors of 997
List of positive integer divisors of 997 that divides 997 without a remainder.
1, 997
Divisors of 625
List of positive integer divisors of 625 that divides 625 without a remainder.
1, 5, 25, 125, 625
Greatest Common Divisior
We found the divisors of 273, 274, 997, 625 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 273, 274, 997, 625 is 1.
Therefore, GCD of numbers 273, 274, 997, 625 is 1
Given Input Data is 273, 274, 997, 625
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 273 is 3 x 7 x 13
Prime Factorization of 274 is 2 x 137
Prime Factorization of 997 is 997
Prime Factorization of 625 is 5 x 5 x 5 x 5
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(273, 274) = 74802
GCD(273, 274) = ( 273 x 274 ) / 74802
GCD(273, 274) = 74802 / 74802
GCD(273, 274) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 997
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 997) = 997
GCD(1, 997) = ( 1 x 997 ) / 997
GCD(1, 997) = 997 / 997
GCD(1, 997) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 625
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 625) = 625
GCD(1, 625) = ( 1 x 625 ) / 625
GCD(1, 625) = 625 / 625
GCD(1, 625) = 1
GCD of 273, 274, 997, 625 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 273, 274, 997, 625?
GCD of 273, 274, 997, 625 is 1
2. Where do I get the detailed procedure to find GCD of 273, 274, 997, 625?
You can find a detailed procedure to find GCD of 273, 274, 997, 625 on our page.
3. How to find GCD of 273, 274, 997, 625 on a calculator?
You can find the GCD of 273, 274, 997, 625 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.