GCD of 280, 989, 367, 821 Calculator

Given Input numbers are 280, 989, 367, 821

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

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 989

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

1, 23, 43, 989

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 280, 989, 367, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 989, 367, 821 is 1.

Therefore, GCD of numbers 280, 989, 367, 821 is 1

Given Input Data is 280, 989, 367, 821

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

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 989 is 23 x 43

Prime Factorization of 367 is 367

Prime Factorization of 821 is 821

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(280, 989) = 276920

GCD(280, 989) = ( 280 x 989 ) / 276920

GCD(280, 989) = 276920 / 276920

GCD(280, 989) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 367

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

LCM(1, 367) = 367

GCD(1, 367) = ( 1 x 367 ) / 367

GCD(1, 367) = 367 / 367

GCD(1, 367) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

GCD of 280, 989, 367, 821 is 1

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1. What is the GCD of 280, 989, 367, 821?

GCD of 280, 989, 367, 821 is 1

2. Where do I get the detailed procedure to find GCD of 280, 989, 367, 821?

You can find a detailed procedure to find GCD of 280, 989, 367, 821 on our page.

3. How to find GCD of 280, 989, 367, 821 on a calculator?

You can find the GCD of 280, 989, 367, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.