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 938, 206, 51, 993 i.e. 1 largest integer that divides all the numbers equally.
GCD of 938, 206, 51, 993 is 1
GCD(938, 206, 51, 993) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 938, 206, 51, 993 is 1
GCD(938, 206, 51, 993) = 1
Given Input numbers are 938, 206, 51, 993
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 938
List of positive integer divisors of 938 that divides 938 without a remainder.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 206
List of positive integer divisors of 206 that divides 206 without a remainder.
1, 2, 103, 206
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
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 938, 206, 51, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 938, 206, 51, 993 is 1.
Therefore, GCD of numbers 938, 206, 51, 993 is 1
Given Input Data is 938, 206, 51, 993
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 938 is 2 x 7 x 67
Prime Factorization of 206 is 2 x 103
Prime Factorization of 51 is 3 x 17
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(938, 206) = 96614
GCD(938, 206) = ( 938 x 206 ) / 96614
GCD(938, 206) = 193228 / 96614
GCD(938, 206) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 51) = 102
GCD(2, 51) = ( 2 x 51 ) / 102
GCD(2, 51) = 102 / 102
GCD(2, 51) = 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 938, 206, 51, 993 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 938, 206, 51, 993?
GCD of 938, 206, 51, 993 is 1
2. Where do I get the detailed procedure to find GCD of 938, 206, 51, 993?
You can find a detailed procedure to find GCD of 938, 206, 51, 993 on our page.
3. How to find GCD of 938, 206, 51, 993 on a calculator?
You can find the GCD of 938, 206, 51, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.