GCD of 896, 408, 313 Calculator
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, 408, 313 i.e. 1 largest integer that divides all the numbers equally.
GCD of 896, 408, 313 is 1
GCD(896, 408, 313) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 896, 408, 313 is 1
GCD(896, 408, 313) = 1
GCDof 896,408,313 is 1
Given Input numbers are 896, 408, 313
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 408
List of positive integer divisors of 408 that divides 408 without a remainder.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Divisors of 313
List of positive integer divisors of 313 that divides 313 without a remainder.
1, 313
Greatest Common Divisior
We found the divisors of 896, 408, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 408, 313 is 1.
Therefore, GCD of numbers 896, 408, 313 is 1
Given Input Data is 896, 408, 313
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 408 is 2 x 2 x 2 x 3 x 17
Prime Factorization of 313 is 313
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 896, 408, 313 using LCM Formula
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, 408) = 45696
GCD(896, 408) = ( 896 x 408 ) / 45696
GCD(896, 408) = 365568 / 45696
GCD(896, 408) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 313
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 313) = 2504
GCD(8, 313) = ( 8 x 313 ) / 2504
GCD(8, 313) = 2504 / 2504
GCD(8, 313) = 1
GCD of 896, 408, 313 is 1
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FAQs on GCD of numbers 896, 408, 313
1. What is the GCD of 896, 408, 313?
GCD of 896, 408, 313 is 1
2. Where do I get the detailed procedure to find GCD of 896, 408, 313?
You can find a detailed procedure to find GCD of 896, 408, 313 on our page.
3. How to find GCD of 896, 408, 313 on a calculator?
You can find the GCD of 896, 408, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.