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 621, 804, 74, 403 i.e. 1 largest integer that divides all the numbers equally.
GCD of 621, 804, 74, 403 is 1
GCD(621, 804, 74, 403) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 621, 804, 74, 403 is 1
GCD(621, 804, 74, 403) = 1
Given Input numbers are 621, 804, 74, 403
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 621
List of positive integer divisors of 621 that divides 621 without a remainder.
1, 3, 9, 23, 27, 69, 207, 621
Divisors of 804
List of positive integer divisors of 804 that divides 804 without a remainder.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 403
List of positive integer divisors of 403 that divides 403 without a remainder.
1, 13, 31, 403
Greatest Common Divisior
We found the divisors of 621, 804, 74, 403 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 621, 804, 74, 403 is 1.
Therefore, GCD of numbers 621, 804, 74, 403 is 1
Given Input Data is 621, 804, 74, 403
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 621 is 3 x 3 x 3 x 23
Prime Factorization of 804 is 2 x 2 x 3 x 67
Prime Factorization of 74 is 2 x 37
Prime Factorization of 403 is 13 x 31
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(621, 804) = 166428
GCD(621, 804) = ( 621 x 804 ) / 166428
GCD(621, 804) = 499284 / 166428
GCD(621, 804) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 74) = 222
GCD(3, 74) = ( 3 x 74 ) / 222
GCD(3, 74) = 222 / 222
GCD(3, 74) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 403
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 403) = 403
GCD(1, 403) = ( 1 x 403 ) / 403
GCD(1, 403) = 403 / 403
GCD(1, 403) = 1
GCD of 621, 804, 74, 403 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 621, 804, 74, 403?
GCD of 621, 804, 74, 403 is 1
2. Where do I get the detailed procedure to find GCD of 621, 804, 74, 403?
You can find a detailed procedure to find GCD of 621, 804, 74, 403 on our page.
3. How to find GCD of 621, 804, 74, 403 on a calculator?
You can find the GCD of 621, 804, 74, 403 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.