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 675, 404, 988, 451 i.e. 1 largest integer that divides all the numbers equally.
GCD of 675, 404, 988, 451 is 1
GCD(675, 404, 988, 451) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 675, 404, 988, 451 is 1
GCD(675, 404, 988, 451) = 1
Given Input numbers are 675, 404, 988, 451
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Divisors of 988
List of positive integer divisors of 988 that divides 988 without a remainder.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
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 675, 404, 988, 451 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 404, 988, 451 is 1.
Therefore, GCD of numbers 675, 404, 988, 451 is 1
Given Input Data is 675, 404, 988, 451
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 404 is 2 x 2 x 101
Prime Factorization of 988 is 2 x 2 x 13 x 19
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(675, 404) = 272700
GCD(675, 404) = ( 675 x 404 ) / 272700
GCD(675, 404) = 272700 / 272700
GCD(675, 404) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 988
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 988) = 988
GCD(1, 988) = ( 1 x 988 ) / 988
GCD(1, 988) = 988 / 988
GCD(1, 988) = 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 675, 404, 988, 451 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 675, 404, 988, 451?
GCD of 675, 404, 988, 451 is 1
2. Where do I get the detailed procedure to find GCD of 675, 404, 988, 451?
You can find a detailed procedure to find GCD of 675, 404, 988, 451 on our page.
3. How to find GCD of 675, 404, 988, 451 on a calculator?
You can find the GCD of 675, 404, 988, 451 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.