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 453, 510, 401, 698 i.e. 1 largest integer that divides all the numbers equally.
GCD of 453, 510, 401, 698 is 1
GCD(453, 510, 401, 698) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 453, 510, 401, 698 is 1
GCD(453, 510, 401, 698) = 1
Given Input numbers are 453, 510, 401, 698
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 453
List of positive integer divisors of 453 that divides 453 without a remainder.
1, 3, 151, 453
Divisors of 510
List of positive integer divisors of 510 that divides 510 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Divisors of 401
List of positive integer divisors of 401 that divides 401 without a remainder.
1, 401
Divisors of 698
List of positive integer divisors of 698 that divides 698 without a remainder.
1, 2, 349, 698
Greatest Common Divisior
We found the divisors of 453, 510, 401, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 453, 510, 401, 698 is 1.
Therefore, GCD of numbers 453, 510, 401, 698 is 1
Given Input Data is 453, 510, 401, 698
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 453 is 3 x 151
Prime Factorization of 510 is 2 x 3 x 5 x 17
Prime Factorization of 401 is 401
Prime Factorization of 698 is 2 x 349
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(453, 510) = 77010
GCD(453, 510) = ( 453 x 510 ) / 77010
GCD(453, 510) = 231030 / 77010
GCD(453, 510) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 401
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 401) = 1203
GCD(3, 401) = ( 3 x 401 ) / 1203
GCD(3, 401) = 1203 / 1203
GCD(3, 401) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 698
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 698) = 698
GCD(1, 698) = ( 1 x 698 ) / 698
GCD(1, 698) = 698 / 698
GCD(1, 698) = 1
GCD of 453, 510, 401, 698 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 453, 510, 401, 698?
GCD of 453, 510, 401, 698 is 1
2. Where do I get the detailed procedure to find GCD of 453, 510, 401, 698?
You can find a detailed procedure to find GCD of 453, 510, 401, 698 on our page.
3. How to find GCD of 453, 510, 401, 698 on a calculator?
You can find the GCD of 453, 510, 401, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.