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 48, 123, 772, 997 i.e. 1 largest integer that divides all the numbers equally.
GCD of 48, 123, 772, 997 is 1
GCD(48, 123, 772, 997) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 48, 123, 772, 997 is 1
GCD(48, 123, 772, 997) = 1
Given Input numbers are 48, 123, 772, 997
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Divisors of 997
List of positive integer divisors of 997 that divides 997 without a remainder.
1, 997
Greatest Common Divisior
We found the divisors of 48, 123, 772, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 123, 772, 997 is 1.
Therefore, GCD of numbers 48, 123, 772, 997 is 1
Given Input Data is 48, 123, 772, 997
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 123 is 3 x 41
Prime Factorization of 772 is 2 x 2 x 193
Prime Factorization of 997 is 997
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(48, 123) = 1968
GCD(48, 123) = ( 48 x 123 ) / 1968
GCD(48, 123) = 5904 / 1968
GCD(48, 123) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 772
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 772) = 2316
GCD(3, 772) = ( 3 x 772 ) / 2316
GCD(3, 772) = 2316 / 2316
GCD(3, 772) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 997
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 997) = 997
GCD(1, 997) = ( 1 x 997 ) / 997
GCD(1, 997) = 997 / 997
GCD(1, 997) = 1
GCD of 48, 123, 772, 997 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 48, 123, 772, 997?
GCD of 48, 123, 772, 997 is 1
2. Where do I get the detailed procedure to find GCD of 48, 123, 772, 997?
You can find a detailed procedure to find GCD of 48, 123, 772, 997 on our page.
3. How to find GCD of 48, 123, 772, 997 on a calculator?
You can find the GCD of 48, 123, 772, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.