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 363, 332, 490, 896 i.e. 1 largest integer that divides all the numbers equally.
GCD of 363, 332, 490, 896 is 1
GCD(363, 332, 490, 896) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 363, 332, 490, 896 is 1
GCD(363, 332, 490, 896) = 1
Given Input numbers are 363, 332, 490, 896
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
Divisors of 490
List of positive integer divisors of 490 that divides 490 without a remainder.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
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
Greatest Common Divisior
We found the divisors of 363, 332, 490, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 332, 490, 896 is 1.
Therefore, GCD of numbers 363, 332, 490, 896 is 1
Given Input Data is 363, 332, 490, 896
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 332 is 2 x 2 x 83
Prime Factorization of 490 is 2 x 5 x 7 x 7
Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 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(363, 332) = 120516
GCD(363, 332) = ( 363 x 332 ) / 120516
GCD(363, 332) = 120516 / 120516
GCD(363, 332) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 490
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 490) = 490
GCD(1, 490) = ( 1 x 490 ) / 490
GCD(1, 490) = 490 / 490
GCD(1, 490) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 896
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 896) = 896
GCD(1, 896) = ( 1 x 896 ) / 896
GCD(1, 896) = 896 / 896
GCD(1, 896) = 1
GCD of 363, 332, 490, 896 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 363, 332, 490, 896?
GCD of 363, 332, 490, 896 is 1
2. Where do I get the detailed procedure to find GCD of 363, 332, 490, 896?
You can find a detailed procedure to find GCD of 363, 332, 490, 896 on our page.
3. How to find GCD of 363, 332, 490, 896 on a calculator?
You can find the GCD of 363, 332, 490, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.