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 57, 867, 994, 745 i.e. 1 largest integer that divides all the numbers equally.
GCD of 57, 867, 994, 745 is 1
GCD(57, 867, 994, 745) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 57, 867, 994, 745 is 1
GCD(57, 867, 994, 745) = 1
Given Input numbers are 57, 867, 994, 745
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 867
List of positive integer divisors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
Divisors of 994
List of positive integer divisors of 994 that divides 994 without a remainder.
1, 2, 7, 14, 71, 142, 497, 994
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Greatest Common Divisior
We found the divisors of 57, 867, 994, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 867, 994, 745 is 1.
Therefore, GCD of numbers 57, 867, 994, 745 is 1
Given Input Data is 57, 867, 994, 745
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 57 is 3 x 19
Prime Factorization of 867 is 3 x 17 x 17
Prime Factorization of 994 is 2 x 7 x 71
Prime Factorization of 745 is 5 x 149
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(57, 867) = 16473
GCD(57, 867) = ( 57 x 867 ) / 16473
GCD(57, 867) = 49419 / 16473
GCD(57, 867) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 994
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 994) = 2982
GCD(3, 994) = ( 3 x 994 ) / 2982
GCD(3, 994) = 2982 / 2982
GCD(3, 994) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 745
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 745) = 745
GCD(1, 745) = ( 1 x 745 ) / 745
GCD(1, 745) = 745 / 745
GCD(1, 745) = 1
GCD of 57, 867, 994, 745 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 57, 867, 994, 745?
GCD of 57, 867, 994, 745 is 1
2. Where do I get the detailed procedure to find GCD of 57, 867, 994, 745?
You can find a detailed procedure to find GCD of 57, 867, 994, 745 on our page.
3. How to find GCD of 57, 867, 994, 745 on a calculator?
You can find the GCD of 57, 867, 994, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.