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 483, 441, 452, 742 i.e. 1 largest integer that divides all the numbers equally.
GCD of 483, 441, 452, 742 is 1
GCD(483, 441, 452, 742) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 483, 441, 452, 742 is 1
GCD(483, 441, 452, 742) = 1
Given Input numbers are 483, 441, 452, 742
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 483
List of positive integer divisors of 483 that divides 483 without a remainder.
1, 3, 7, 21, 23, 69, 161, 483
Divisors of 441
List of positive integer divisors of 441 that divides 441 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 452
List of positive integer divisors of 452 that divides 452 without a remainder.
1, 2, 4, 113, 226, 452
Divisors of 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Greatest Common Divisior
We found the divisors of 483, 441, 452, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 483, 441, 452, 742 is 1.
Therefore, GCD of numbers 483, 441, 452, 742 is 1
Given Input Data is 483, 441, 452, 742
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 483 is 3 x 7 x 23
Prime Factorization of 441 is 3 x 3 x 7 x 7
Prime Factorization of 452 is 2 x 2 x 113
Prime Factorization of 742 is 2 x 7 x 53
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(483, 441) = 10143
GCD(483, 441) = ( 483 x 441 ) / 10143
GCD(483, 441) = 213003 / 10143
GCD(483, 441) = 21
Step2:
Here we consider the GCD from the above i.e. 21 as first number and the next as 452
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(21, 452) = 9492
GCD(21, 452) = ( 21 x 452 ) / 9492
GCD(21, 452) = 9492 / 9492
GCD(21, 452) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 742
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
GCD(1, 742) = 742 / 742
GCD(1, 742) = 1
GCD of 483, 441, 452, 742 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 483, 441, 452, 742?
GCD of 483, 441, 452, 742 is 1
2. Where do I get the detailed procedure to find GCD of 483, 441, 452, 742?
You can find a detailed procedure to find GCD of 483, 441, 452, 742 on our page.
3. How to find GCD of 483, 441, 452, 742 on a calculator?
You can find the GCD of 483, 441, 452, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.