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 792, 714, 94, 993 i.e. 1 largest integer that divides all the numbers equally.
GCD of 792, 714, 94, 993 is 1
GCD(792, 714, 94, 993) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 792, 714, 94, 993 is 1
GCD(792, 714, 94, 993) = 1
Given Input numbers are 792, 714, 94, 993
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 792
List of positive integer divisors of 792 that divides 792 without a remainder.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 714
List of positive integer divisors of 714 that divides 714 without a remainder.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 94
List of positive integer divisors of 94 that divides 94 without a remainder.
1, 2, 47, 94
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 792, 714, 94, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 714, 94, 993 is 1.
Therefore, GCD of numbers 792, 714, 94, 993 is 1
Given Input Data is 792, 714, 94, 993
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11
Prime Factorization of 714 is 2 x 3 x 7 x 17
Prime Factorization of 94 is 2 x 47
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(792, 714) = 94248
GCD(792, 714) = ( 792 x 714 ) / 94248
GCD(792, 714) = 565488 / 94248
GCD(792, 714) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 94
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 94) = 282
GCD(6, 94) = ( 6 x 94 ) / 282
GCD(6, 94) = 564 / 282
GCD(6, 94) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 993
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 993) = 1986
GCD(2, 993) = ( 2 x 993 ) / 1986
GCD(2, 993) = 1986 / 1986
GCD(2, 993) = 1
GCD of 792, 714, 94, 993 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 792, 714, 94, 993?
GCD of 792, 714, 94, 993 is 1
2. Where do I get the detailed procedure to find GCD of 792, 714, 94, 993?
You can find a detailed procedure to find GCD of 792, 714, 94, 993 on our page.
3. How to find GCD of 792, 714, 94, 993 on a calculator?
You can find the GCD of 792, 714, 94, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.