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, 552, 361, 826 i.e. 1 largest integer that divides all the numbers equally.
GCD of 896, 552, 361, 826 is 1
GCD(896, 552, 361, 826) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 896, 552, 361, 826 is 1
GCD(896, 552, 361, 826) = 1
Given Input numbers are 896, 552, 361, 826
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 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Divisors of 826
List of positive integer divisors of 826 that divides 826 without a remainder.
1, 2, 7, 14, 59, 118, 413, 826
Greatest Common Divisior
We found the divisors of 896, 552, 361, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 552, 361, 826 is 1.
Therefore, GCD of numbers 896, 552, 361, 826 is 1
Given Input Data is 896, 552, 361, 826
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 552 is 2 x 2 x 2 x 3 x 23
Prime Factorization of 361 is 19 x 19
Prime Factorization of 826 is 2 x 7 x 59
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, 552) = 61824
GCD(896, 552) = ( 896 x 552 ) / 61824
GCD(896, 552) = 494592 / 61824
GCD(896, 552) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 361
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 361) = 2888
GCD(8, 361) = ( 8 x 361 ) / 2888
GCD(8, 361) = 2888 / 2888
GCD(8, 361) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 826
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 826) = 826
GCD(1, 826) = ( 1 x 826 ) / 826
GCD(1, 826) = 826 / 826
GCD(1, 826) = 1
GCD of 896, 552, 361, 826 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 896, 552, 361, 826?
GCD of 896, 552, 361, 826 is 1
2. Where do I get the detailed procedure to find GCD of 896, 552, 361, 826?
You can find a detailed procedure to find GCD of 896, 552, 361, 826 on our page.
3. How to find GCD of 896, 552, 361, 826 on a calculator?
You can find the GCD of 896, 552, 361, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.