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 748, 693, 68, 483 i.e. 1 largest integer that divides all the numbers equally.
GCD of 748, 693, 68, 483 is 1
GCD(748, 693, 68, 483) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 748, 693, 68, 483 is 1
GCD(748, 693, 68, 483) = 1
Given Input numbers are 748, 693, 68, 483
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 693
List of positive integer divisors of 693 that divides 693 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 483
List of positive integer divisors of 483 that divides 483 without a remainder.
1, 3, 7, 21, 23, 69, 161, 483
Greatest Common Divisior
We found the divisors of 748, 693, 68, 483 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 693, 68, 483 is 1.
Therefore, GCD of numbers 748, 693, 68, 483 is 1
Given Input Data is 748, 693, 68, 483
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 748 is 2 x 2 x 11 x 17
Prime Factorization of 693 is 3 x 3 x 7 x 11
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 483 is 3 x 7 x 23
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(748, 693) = 47124
GCD(748, 693) = ( 748 x 693 ) / 47124
GCD(748, 693) = 518364 / 47124
GCD(748, 693) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 68) = 748
GCD(11, 68) = ( 11 x 68 ) / 748
GCD(11, 68) = 748 / 748
GCD(11, 68) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 483
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 483) = 483
GCD(1, 483) = ( 1 x 483 ) / 483
GCD(1, 483) = 483 / 483
GCD(1, 483) = 1
GCD of 748, 693, 68, 483 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 748, 693, 68, 483?
GCD of 748, 693, 68, 483 is 1
2. Where do I get the detailed procedure to find GCD of 748, 693, 68, 483?
You can find a detailed procedure to find GCD of 748, 693, 68, 483 on our page.
3. How to find GCD of 748, 693, 68, 483 on a calculator?
You can find the GCD of 748, 693, 68, 483 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.