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 981, 844, 896, 565 i.e. 1 largest integer that divides all the numbers equally.
GCD of 981, 844, 896, 565 is 1
GCD(981, 844, 896, 565) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 981, 844, 896, 565 is 1
GCD(981, 844, 896, 565) = 1
Given Input numbers are 981, 844, 896, 565
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 981
List of positive integer divisors of 981 that divides 981 without a remainder.
1, 3, 9, 109, 327, 981
Divisors of 844
List of positive integer divisors of 844 that divides 844 without a remainder.
1, 2, 4, 211, 422, 844
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 565
List of positive integer divisors of 565 that divides 565 without a remainder.
1, 5, 113, 565
Greatest Common Divisior
We found the divisors of 981, 844, 896, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 981, 844, 896, 565 is 1.
Therefore, GCD of numbers 981, 844, 896, 565 is 1
Given Input Data is 981, 844, 896, 565
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 981 is 3 x 3 x 109
Prime Factorization of 844 is 2 x 2 x 211
Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 565 is 5 x 113
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(981, 844) = 827964
GCD(981, 844) = ( 981 x 844 ) / 827964
GCD(981, 844) = 827964 / 827964
GCD(981, 844) = 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 565
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 565) = 565
GCD(1, 565) = ( 1 x 565 ) / 565
GCD(1, 565) = 565 / 565
GCD(1, 565) = 1
GCD of 981, 844, 896, 565 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 981, 844, 896, 565?
GCD of 981, 844, 896, 565 is 1
2. Where do I get the detailed procedure to find GCD of 981, 844, 896, 565?
You can find a detailed procedure to find GCD of 981, 844, 896, 565 on our page.
3. How to find GCD of 981, 844, 896, 565 on a calculator?
You can find the GCD of 981, 844, 896, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.