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, 327, 76, 101 i.e. 1 largest integer that divides all the numbers equally.
GCD of 997, 327, 76, 101 is 1
GCD(997, 327, 76, 101) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 997, 327, 76, 101 is 1
GCD(997, 327, 76, 101) = 1
Given Input numbers are 997, 327, 76, 101
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 327
List of positive integer divisors of 327 that divides 327 without a remainder.
1, 3, 109, 327
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 101
List of positive integer divisors of 101 that divides 101 without a remainder.
1, 101
Greatest Common Divisior
We found the divisors of 997, 327, 76, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 997, 327, 76, 101 is 1.
Therefore, GCD of numbers 997, 327, 76, 101 is 1
Given Input Data is 997, 327, 76, 101
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 997 is 997
Prime Factorization of 327 is 3 x 109
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 101 is 101
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, 327) = 326019
GCD(997, 327) = ( 997 x 327 ) / 326019
GCD(997, 327) = 326019 / 326019
GCD(997, 327) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 76) = 76
GCD(1, 76) = ( 1 x 76 ) / 76
GCD(1, 76) = 76 / 76
GCD(1, 76) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 101
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 101) = 101
GCD(1, 101) = ( 1 x 101 ) / 101
GCD(1, 101) = 101 / 101
GCD(1, 101) = 1
GCD of 997, 327, 76, 101 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 997, 327, 76, 101?
GCD of 997, 327, 76, 101 is 1
2. Where do I get the detailed procedure to find GCD of 997, 327, 76, 101?
You can find a detailed procedure to find GCD of 997, 327, 76, 101 on our page.
3. How to find GCD of 997, 327, 76, 101 on a calculator?
You can find the GCD of 997, 327, 76, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.