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 958, 758, 57, 993 i.e. 1 largest integer that divides all the numbers equally.
GCD of 958, 758, 57, 993 is 1
GCD(958, 758, 57, 993) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 958, 758, 57, 993 is 1
GCD(958, 758, 57, 993) = 1
Given Input numbers are 958, 758, 57, 993
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 958
List of positive integer divisors of 958 that divides 958 without a remainder.
1, 2, 479, 958
Divisors of 758
List of positive integer divisors of 758 that divides 758 without a remainder.
1, 2, 379, 758
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Greatest Common Divisior
We found the divisors of 958, 758, 57, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 958, 758, 57, 993 is 1.
Therefore, GCD of numbers 958, 758, 57, 993 is 1
Given Input Data is 958, 758, 57, 993
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 958 is 2 x 479
Prime Factorization of 758 is 2 x 379
Prime Factorization of 57 is 3 x 19
Prime Factorization of 993 is 3 x 331
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(958, 758) = 363082
GCD(958, 758) = ( 958 x 758 ) / 363082
GCD(958, 758) = 726164 / 363082
GCD(958, 758) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 57) = 114
GCD(2, 57) = ( 2 x 57 ) / 114
GCD(2, 57) = 114 / 114
GCD(2, 57) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 993
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 993) = 993
GCD(1, 993) = ( 1 x 993 ) / 993
GCD(1, 993) = 993 / 993
GCD(1, 993) = 1
GCD of 958, 758, 57, 993 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 958, 758, 57, 993?
GCD of 958, 758, 57, 993 is 1
2. Where do I get the detailed procedure to find GCD of 958, 758, 57, 993?
You can find a detailed procedure to find GCD of 958, 758, 57, 993 on our page.
3. How to find GCD of 958, 758, 57, 993 on a calculator?
You can find the GCD of 958, 758, 57, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.