GCD of 849, 270, 989, 424 Calculator

Given Input numbers are 849, 270, 989, 424

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 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Greatest Common Divisior

We found the divisors of 849, 270, 989, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 849, 270, 989, 424 is 1.

Therefore, GCD of numbers 849, 270, 989, 424 is 1

Given Input Data is 849, 270, 989, 424

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

Prime Factorization of 849 is 3 x 283

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 989 is 23 x 43

Prime Factorization of 424 is 2 x 2 x 2 x 53

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, 270) = 76410

GCD(849, 270) = ( 849 x 270 ) / 76410

GCD(849, 270) = 229230 / 76410

GCD(849, 270) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 989

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

LCM(3, 989) = 2967

GCD(3, 989) = ( 3 x 989 ) / 2967

GCD(3, 989) = 2967 / 2967

GCD(3, 989) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 424

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

LCM(1, 424) = 424

GCD(1, 424) = ( 1 x 424 ) / 424

GCD(1, 424) = 424 / 424

GCD(1, 424) = 1

GCD of 849, 270, 989, 424 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 238, 937, 209, 847
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• GCD of 462, 351, 483, 849

1. What is the GCD of 849, 270, 989, 424?

GCD of 849, 270, 989, 424 is 1

2. Where do I get the detailed procedure to find GCD of 849, 270, 989, 424?

You can find a detailed procedure to find GCD of 849, 270, 989, 424 on our page.

3. How to find GCD of 849, 270, 989, 424 on a calculator?

You can find the GCD of 849, 270, 989, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.