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 321, 533, 126, 451 i.e. 1 largest integer that divides all the numbers equally.
GCD of 321, 533, 126, 451 is 1
GCD(321, 533, 126, 451) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 321, 533, 126, 451 is 1
GCD(321, 533, 126, 451) = 1
Given Input numbers are 321, 533, 126, 451
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 321
List of positive integer divisors of 321 that divides 321 without a remainder.
1, 3, 107, 321
Divisors of 533
List of positive integer divisors of 533 that divides 533 without a remainder.
1, 13, 41, 533
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 451
List of positive integer divisors of 451 that divides 451 without a remainder.
1, 11, 41, 451
Greatest Common Divisior
We found the divisors of 321, 533, 126, 451 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 533, 126, 451 is 1.
Therefore, GCD of numbers 321, 533, 126, 451 is 1
Given Input Data is 321, 533, 126, 451
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 321 is 3 x 107
Prime Factorization of 533 is 13 x 41
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 451 is 11 x 41
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(321, 533) = 171093
GCD(321, 533) = ( 321 x 533 ) / 171093
GCD(321, 533) = 171093 / 171093
GCD(321, 533) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 126
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 126) = 126
GCD(1, 126) = ( 1 x 126 ) / 126
GCD(1, 126) = 126 / 126
GCD(1, 126) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 451
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 451) = 451
GCD(1, 451) = ( 1 x 451 ) / 451
GCD(1, 451) = 451 / 451
GCD(1, 451) = 1
GCD of 321, 533, 126, 451 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 321, 533, 126, 451?
GCD of 321, 533, 126, 451 is 1
2. Where do I get the detailed procedure to find GCD of 321, 533, 126, 451?
You can find a detailed procedure to find GCD of 321, 533, 126, 451 on our page.
3. How to find GCD of 321, 533, 126, 451 on a calculator?
You can find the GCD of 321, 533, 126, 451 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.