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, 889, 438, 648 i.e. 1 largest integer that divides all the numbers equally.
GCD of 792, 889, 438, 648 is 1
GCD(792, 889, 438, 648) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 792, 889, 438, 648 is 1
GCD(792, 889, 438, 648) = 1
Given Input numbers are 792, 889, 438, 648
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 889
List of positive integer divisors of 889 that divides 889 without a remainder.
1, 7, 127, 889
Divisors of 438
List of positive integer divisors of 438 that divides 438 without a remainder.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Greatest Common Divisior
We found the divisors of 792, 889, 438, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 889, 438, 648 is 1.
Therefore, GCD of numbers 792, 889, 438, 648 is 1
Given Input Data is 792, 889, 438, 648
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 889 is 7 x 127
Prime Factorization of 438 is 2 x 3 x 73
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
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, 889) = 704088
GCD(792, 889) = ( 792 x 889 ) / 704088
GCD(792, 889) = 704088 / 704088
GCD(792, 889) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 438
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 438) = 438
GCD(1, 438) = ( 1 x 438 ) / 438
GCD(1, 438) = 438 / 438
GCD(1, 438) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 648
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 648) = 648
GCD(1, 648) = ( 1 x 648 ) / 648
GCD(1, 648) = 648 / 648
GCD(1, 648) = 1
GCD of 792, 889, 438, 648 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 792, 889, 438, 648?
GCD of 792, 889, 438, 648 is 1
2. Where do I get the detailed procedure to find GCD of 792, 889, 438, 648?
You can find a detailed procedure to find GCD of 792, 889, 438, 648 on our page.
3. How to find GCD of 792, 889, 438, 648 on a calculator?
You can find the GCD of 792, 889, 438, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.