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 890, 559, 896, 360 i.e. 1 largest integer that divides all the numbers equally.
GCD of 890, 559, 896, 360 is 1
GCD(890, 559, 896, 360) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 890, 559, 896, 360 is 1
GCD(890, 559, 896, 360) = 1
Given Input numbers are 890, 559, 896, 360
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 890
List of positive integer divisors of 890 that divides 890 without a remainder.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 559
List of positive integer divisors of 559 that divides 559 without a remainder.
1, 13, 43, 559
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 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Greatest Common Divisior
We found the divisors of 890, 559, 896, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 559, 896, 360 is 1.
Therefore, GCD of numbers 890, 559, 896, 360 is 1
Given Input Data is 890, 559, 896, 360
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 890 is 2 x 5 x 89
Prime Factorization of 559 is 13 x 43
Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
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(890, 559) = 497510
GCD(890, 559) = ( 890 x 559 ) / 497510
GCD(890, 559) = 497510 / 497510
GCD(890, 559) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 360
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
GCD(1, 360) = 360 / 360
GCD(1, 360) = 1
GCD of 890, 559, 896, 360 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 890, 559, 896, 360?
GCD of 890, 559, 896, 360 is 1
2. Where do I get the detailed procedure to find GCD of 890, 559, 896, 360?
You can find a detailed procedure to find GCD of 890, 559, 896, 360 on our page.
3. How to find GCD of 890, 559, 896, 360 on a calculator?
You can find the GCD of 890, 559, 896, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.