GCD of 821, 998, 47, 280 Calculator

Given Input numbers are 821, 998, 47, 280

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

Divisors of 821

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

1, 821

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

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

Greatest Common Divisior

We found the divisors of 821, 998, 47, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 998, 47, 280 is 1.

Therefore, GCD of numbers 821, 998, 47, 280 is 1

Given Input Data is 821, 998, 47, 280

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

Prime Factorization of 821 is 821

Prime Factorization of 998 is 2 x 499

Prime Factorization of 47 is 47

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

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(821, 998) = 819358

GCD(821, 998) = ( 821 x 998 ) / 819358

GCD(821, 998) = 819358 / 819358

GCD(821, 998) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 280

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

LCM(1, 280) = 280

GCD(1, 280) = ( 1 x 280 ) / 280

GCD(1, 280) = 280 / 280

GCD(1, 280) = 1

GCD of 821, 998, 47, 280 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 660, 270, 95, 662
• GCD of 338, 554, 10, 783
• GCD of 651, 912, 37, 531
• GCD of 494, 402, 58, 767
• GCD of 704, 163, 40, 865

1. What is the GCD of 821, 998, 47, 280?

GCD of 821, 998, 47, 280 is 1

2. Where do I get the detailed procedure to find GCD of 821, 998, 47, 280?

You can find a detailed procedure to find GCD of 821, 998, 47, 280 on our page.

3. How to find GCD of 821, 998, 47, 280 on a calculator?

You can find the GCD of 821, 998, 47, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.