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, 537, 97, 989 i.e. 1 largest integer that divides all the numbers equally.
GCD of 896, 537, 97, 989 is 1
GCD(896, 537, 97, 989) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 896, 537, 97, 989 is 1
GCD(896, 537, 97, 989) = 1
Given Input numbers are 896, 537, 97, 989
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 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Divisors of 97
List of positive integer divisors of 97 that divides 97 without a remainder.
1, 97
Divisors of 989
List of positive integer divisors of 989 that divides 989 without a remainder.
1, 23, 43, 989
Greatest Common Divisior
We found the divisors of 896, 537, 97, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 537, 97, 989 is 1.
Therefore, GCD of numbers 896, 537, 97, 989 is 1
Given Input Data is 896, 537, 97, 989
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 537 is 3 x 179
Prime Factorization of 97 is 97
Prime Factorization of 989 is 23 x 43
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, 537) = 481152
GCD(896, 537) = ( 896 x 537 ) / 481152
GCD(896, 537) = 481152 / 481152
GCD(896, 537) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 97
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 97) = 97
GCD(1, 97) = ( 1 x 97 ) / 97
GCD(1, 97) = 97 / 97
GCD(1, 97) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 989
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 989) = 989
GCD(1, 989) = ( 1 x 989 ) / 989
GCD(1, 989) = 989 / 989
GCD(1, 989) = 1
GCD of 896, 537, 97, 989 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 896, 537, 97, 989?
GCD of 896, 537, 97, 989 is 1
2. Where do I get the detailed procedure to find GCD of 896, 537, 97, 989?
You can find a detailed procedure to find GCD of 896, 537, 97, 989 on our page.
3. How to find GCD of 896, 537, 97, 989 on a calculator?
You can find the GCD of 896, 537, 97, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.