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 896, 245, 346, 326 i.e. 1 largest integer that divides all the numbers equally.
GCD of 896, 245, 346, 326 is 1
GCD(896, 245, 346, 326) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 896, 245, 346, 326 is 1
GCD(896, 245, 346, 326) = 1
Given Input numbers are 896, 245, 346, 326
To find the GCD of numbers using factoring list out all the divisors of each number
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 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Divisors of 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Greatest Common Divisior
We found the divisors of 896, 245, 346, 326 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 245, 346, 326 is 1.
Therefore, GCD of numbers 896, 245, 346, 326 is 1
Given Input Data is 896, 245, 346, 326
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 245 is 5 x 7 x 7
Prime Factorization of 346 is 2 x 173
Prime Factorization of 326 is 2 x 163
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(896, 245) = 31360
GCD(896, 245) = ( 896 x 245 ) / 31360
GCD(896, 245) = 219520 / 31360
GCD(896, 245) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 346
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 346) = 2422
GCD(7, 346) = ( 7 x 346 ) / 2422
GCD(7, 346) = 2422 / 2422
GCD(7, 346) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 326
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 326) = 326
GCD(1, 326) = ( 1 x 326 ) / 326
GCD(1, 326) = 326 / 326
GCD(1, 326) = 1
GCD of 896, 245, 346, 326 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 896, 245, 346, 326?
GCD of 896, 245, 346, 326 is 1
2. Where do I get the detailed procedure to find GCD of 896, 245, 346, 326?
You can find a detailed procedure to find GCD of 896, 245, 346, 326 on our page.
3. How to find GCD of 896, 245, 346, 326 on a calculator?
You can find the GCD of 896, 245, 346, 326 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.