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 397, 277, 464, 454 i.e. 1 largest integer that divides all the numbers equally.
GCD of 397, 277, 464, 454 is 1
GCD(397, 277, 464, 454) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 397, 277, 464, 454 is 1
GCD(397, 277, 464, 454) = 1
Given Input numbers are 397, 277, 464, 454
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 397
List of positive integer divisors of 397 that divides 397 without a remainder.
1, 397
Divisors of 277
List of positive integer divisors of 277 that divides 277 without a remainder.
1, 277
Divisors of 464
List of positive integer divisors of 464 that divides 464 without a remainder.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 454
List of positive integer divisors of 454 that divides 454 without a remainder.
1, 2, 227, 454
Greatest Common Divisior
We found the divisors of 397, 277, 464, 454 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 397, 277, 464, 454 is 1.
Therefore, GCD of numbers 397, 277, 464, 454 is 1
Given Input Data is 397, 277, 464, 454
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 397 is 397
Prime Factorization of 277 is 277
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
Prime Factorization of 454 is 2 x 227
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(397, 277) = 109969
GCD(397, 277) = ( 397 x 277 ) / 109969
GCD(397, 277) = 109969 / 109969
GCD(397, 277) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 464
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 464) = 464
GCD(1, 464) = ( 1 x 464 ) / 464
GCD(1, 464) = 464 / 464
GCD(1, 464) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 454
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 454) = 454
GCD(1, 454) = ( 1 x 454 ) / 454
GCD(1, 454) = 454 / 454
GCD(1, 454) = 1
GCD of 397, 277, 464, 454 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 397, 277, 464, 454?
GCD of 397, 277, 464, 454 is 1
2. Where do I get the detailed procedure to find GCD of 397, 277, 464, 454?
You can find a detailed procedure to find GCD of 397, 277, 464, 454 on our page.
3. How to find GCD of 397, 277, 464, 454 on a calculator?
You can find the GCD of 397, 277, 464, 454 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.