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, 240, 77, 485 i.e. 1 largest integer that divides all the numbers equally.
GCD of 792, 240, 77, 485 is 1
GCD(792, 240, 77, 485) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 792, 240, 77, 485 is 1
GCD(792, 240, 77, 485) = 1
Given Input numbers are 792, 240, 77, 485
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 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 485
List of positive integer divisors of 485 that divides 485 without a remainder.
1, 5, 97, 485
Greatest Common Divisior
We found the divisors of 792, 240, 77, 485 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 240, 77, 485 is 1.
Therefore, GCD of numbers 792, 240, 77, 485 is 1
Given Input Data is 792, 240, 77, 485
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 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 77 is 7 x 11
Prime Factorization of 485 is 5 x 97
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, 240) = 7920
GCD(792, 240) = ( 792 x 240 ) / 7920
GCD(792, 240) = 190080 / 7920
GCD(792, 240) = 24
Step2:
Here we consider the GCD from the above i.e. 24 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(24, 77) = 1848
GCD(24, 77) = ( 24 x 77 ) / 1848
GCD(24, 77) = 1848 / 1848
GCD(24, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 485
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 485) = 485
GCD(1, 485) = ( 1 x 485 ) / 485
GCD(1, 485) = 485 / 485
GCD(1, 485) = 1
GCD of 792, 240, 77, 485 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 792, 240, 77, 485?
GCD of 792, 240, 77, 485 is 1
2. Where do I get the detailed procedure to find GCD of 792, 240, 77, 485?
You can find a detailed procedure to find GCD of 792, 240, 77, 485 on our page.
3. How to find GCD of 792, 240, 77, 485 on a calculator?
You can find the GCD of 792, 240, 77, 485 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.