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, 375, 19, 893 i.e. 1 largest integer that divides all the numbers equally.
GCD of 997, 375, 19, 893 is 1
GCD(997, 375, 19, 893) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 997, 375, 19, 893 is 1
GCD(997, 375, 19, 893) = 1
Given Input numbers are 997, 375, 19, 893
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 375
List of positive integer divisors of 375 that divides 375 without a remainder.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Divisors of 893
List of positive integer divisors of 893 that divides 893 without a remainder.
1, 19, 47, 893
Greatest Common Divisior
We found the divisors of 997, 375, 19, 893 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 997, 375, 19, 893 is 1.
Therefore, GCD of numbers 997, 375, 19, 893 is 1
Given Input Data is 997, 375, 19, 893
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 997 is 997
Prime Factorization of 375 is 3 x 5 x 5 x 5
Prime Factorization of 19 is 19
Prime Factorization of 893 is 19 x 47
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, 375) = 373875
GCD(997, 375) = ( 997 x 375 ) / 373875
GCD(997, 375) = 373875 / 373875
GCD(997, 375) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 19
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 19) = 19
GCD(1, 19) = ( 1 x 19 ) / 19
GCD(1, 19) = 19 / 19
GCD(1, 19) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 893
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 893) = 893
GCD(1, 893) = ( 1 x 893 ) / 893
GCD(1, 893) = 893 / 893
GCD(1, 893) = 1
GCD of 997, 375, 19, 893 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 997, 375, 19, 893?
GCD of 997, 375, 19, 893 is 1
2. Where do I get the detailed procedure to find GCD of 997, 375, 19, 893?
You can find a detailed procedure to find GCD of 997, 375, 19, 893 on our page.
3. How to find GCD of 997, 375, 19, 893 on a calculator?
You can find the GCD of 997, 375, 19, 893 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.