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 418, 896, 273, 397 i.e. 1 largest integer that divides all the numbers equally.
GCD of 418, 896, 273, 397 is 1
GCD(418, 896, 273, 397) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 418, 896, 273, 397 is 1
GCD(418, 896, 273, 397) = 1
Given Input numbers are 418, 896, 273, 397
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 418
List of positive integer divisors of 418 that divides 418 without a remainder.
1, 2, 11, 19, 22, 38, 209, 418
Divisors of 896
List of positive integer divisors of 896 that divides 896 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Divisors of 273
List of positive integer divisors of 273 that divides 273 without a remainder.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 397
List of positive integer divisors of 397 that divides 397 without a remainder.
1, 397
Greatest Common Divisior
We found the divisors of 418, 896, 273, 397 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 418, 896, 273, 397 is 1.
Therefore, GCD of numbers 418, 896, 273, 397 is 1
Given Input Data is 418, 896, 273, 397
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 418 is 2 x 11 x 19
Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 273 is 3 x 7 x 13
Prime Factorization of 397 is 397
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(418, 896) = 187264
GCD(418, 896) = ( 418 x 896 ) / 187264
GCD(418, 896) = 374528 / 187264
GCD(418, 896) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 273
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 273) = 546
GCD(2, 273) = ( 2 x 273 ) / 546
GCD(2, 273) = 546 / 546
GCD(2, 273) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 397
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 397) = 397
GCD(1, 397) = ( 1 x 397 ) / 397
GCD(1, 397) = 397 / 397
GCD(1, 397) = 1
GCD of 418, 896, 273, 397 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 418, 896, 273, 397?
GCD of 418, 896, 273, 397 is 1
2. Where do I get the detailed procedure to find GCD of 418, 896, 273, 397?
You can find a detailed procedure to find GCD of 418, 896, 273, 397 on our page.
3. How to find GCD of 418, 896, 273, 397 on a calculator?
You can find the GCD of 418, 896, 273, 397 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.