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 893, 449, 137, 343 i.e. 1 largest integer that divides all the numbers equally.
GCD of 893, 449, 137, 343 is 1
GCD(893, 449, 137, 343) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 893, 449, 137, 343 is 1
GCD(893, 449, 137, 343) = 1
Given Input numbers are 893, 449, 137, 343
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 893
List of positive integer divisors of 893 that divides 893 without a remainder.
1, 19, 47, 893
Divisors of 449
List of positive integer divisors of 449 that divides 449 without a remainder.
1, 449
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Divisors of 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Greatest Common Divisior
We found the divisors of 893, 449, 137, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 893, 449, 137, 343 is 1.
Therefore, GCD of numbers 893, 449, 137, 343 is 1
Given Input Data is 893, 449, 137, 343
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 893 is 19 x 47
Prime Factorization of 449 is 449
Prime Factorization of 137 is 137
Prime Factorization of 343 is 7 x 7 x 7
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(893, 449) = 400957
GCD(893, 449) = ( 893 x 449 ) / 400957
GCD(893, 449) = 400957 / 400957
GCD(893, 449) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 137
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 137) = 137
GCD(1, 137) = ( 1 x 137 ) / 137
GCD(1, 137) = 137 / 137
GCD(1, 137) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 343
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 343) = 343
GCD(1, 343) = ( 1 x 343 ) / 343
GCD(1, 343) = 343 / 343
GCD(1, 343) = 1
GCD of 893, 449, 137, 343 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 893, 449, 137, 343?
GCD of 893, 449, 137, 343 is 1
2. Where do I get the detailed procedure to find GCD of 893, 449, 137, 343?
You can find a detailed procedure to find GCD of 893, 449, 137, 343 on our page.
3. How to find GCD of 893, 449, 137, 343 on a calculator?
You can find the GCD of 893, 449, 137, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.