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 454, 429, 241, 698 i.e. 1 largest integer that divides all the numbers equally.
GCD of 454, 429, 241, 698 is 1
GCD(454, 429, 241, 698) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 454, 429, 241, 698 is 1
GCD(454, 429, 241, 698) = 1
Given Input numbers are 454, 429, 241, 698
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 454
List of positive integer divisors of 454 that divides 454 without a remainder.
1, 2, 227, 454
Divisors of 429
List of positive integer divisors of 429 that divides 429 without a remainder.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 241
List of positive integer divisors of 241 that divides 241 without a remainder.
1, 241
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 454, 429, 241, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 454, 429, 241, 698 is 1.
Therefore, GCD of numbers 454, 429, 241, 698 is 1
Given Input Data is 454, 429, 241, 698
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 454 is 2 x 227
Prime Factorization of 429 is 3 x 11 x 13
Prime Factorization of 241 is 241
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(454, 429) = 194766
GCD(454, 429) = ( 454 x 429 ) / 194766
GCD(454, 429) = 194766 / 194766
GCD(454, 429) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 241
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 241) = 241
GCD(1, 241) = ( 1 x 241 ) / 241
GCD(1, 241) = 241 / 241
GCD(1, 241) = 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 454, 429, 241, 698 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 454, 429, 241, 698?
GCD of 454, 429, 241, 698 is 1
2. Where do I get the detailed procedure to find GCD of 454, 429, 241, 698?
You can find a detailed procedure to find GCD of 454, 429, 241, 698 on our page.
3. How to find GCD of 454, 429, 241, 698 on a calculator?
You can find the GCD of 454, 429, 241, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.