GCD of 981, 896, 365, 625 Calculator

Given Input numbers are 981, 896, 365, 625

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 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 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Greatest Common Divisior

We found the divisors of 981, 896, 365, 625 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 981, 896, 365, 625 is 1.

Therefore, GCD of numbers 981, 896, 365, 625 is 1

Given Input Data is 981, 896, 365, 625

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 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 365 is 5 x 73

Prime Factorization of 625 is 5 x 5 x 5 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(981, 896) = 878976

GCD(981, 896) = ( 981 x 896 ) / 878976

GCD(981, 896) = 878976 / 878976

GCD(981, 896) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 365

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

GCD(1, 365) = 365 / 365

GCD(1, 365) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 625

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 625) = 625

GCD(1, 625) = ( 1 x 625 ) / 625

GCD(1, 625) = 625 / 625

GCD(1, 625) = 1

GCD of 981, 896, 365, 625 is 1

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1. What is the GCD of 981, 896, 365, 625?

GCD of 981, 896, 365, 625 is 1

2. Where do I get the detailed procedure to find GCD of 981, 896, 365, 625?

You can find a detailed procedure to find GCD of 981, 896, 365, 625 on our page.

3. How to find GCD of 981, 896, 365, 625 on a calculator?

You can find the GCD of 981, 896, 365, 625 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.