GCD of 849, 981, 992, 457 Calculator

Given Input numbers are 849, 981, 992, 457

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Greatest Common Divisior

We found the divisors of 849, 981, 992, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 849, 981, 992, 457 is 1.

Therefore, GCD of numbers 849, 981, 992, 457 is 1

Given Input Data is 849, 981, 992, 457

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 849 is 3 x 283

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 457 is 457

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(849, 981) = 277623

GCD(849, 981) = ( 849 x 981 ) / 277623

GCD(849, 981) = 832869 / 277623

GCD(849, 981) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 992

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

LCM(3, 992) = 2976

GCD(3, 992) = ( 3 x 992 ) / 2976

GCD(3, 992) = 2976 / 2976

GCD(3, 992) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 457

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

LCM(1, 457) = 457

GCD(1, 457) = ( 1 x 457 ) / 457

GCD(1, 457) = 457 / 457

GCD(1, 457) = 1

GCD of 849, 981, 992, 457 is 1

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• GCD of 309, 809, 290, 869
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• GCD of 447, 722, 992, 509

1. What is the GCD of 849, 981, 992, 457?

GCD of 849, 981, 992, 457 is 1

2. Where do I get the detailed procedure to find GCD of 849, 981, 992, 457?

You can find a detailed procedure to find GCD of 849, 981, 992, 457 on our page.

3. How to find GCD of 849, 981, 992, 457 on a calculator?

You can find the GCD of 849, 981, 992, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.