GCD of 49, 973, 279, 821 Calculator

Given Input numbers are 49, 973, 279, 821

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

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

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 49, 973, 279, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 973, 279, 821 is 1.

Therefore, GCD of numbers 49, 973, 279, 821 is 1

Given Input Data is 49, 973, 279, 821

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 973 is 7 x 139

Prime Factorization of 279 is 3 x 3 x 31

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(49, 973) = 6811

GCD(49, 973) = ( 49 x 973 ) / 6811

GCD(49, 973) = 47677 / 6811

GCD(49, 973) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 279

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

LCM(7, 279) = 1953

GCD(7, 279) = ( 7 x 279 ) / 1953

GCD(7, 279) = 1953 / 1953

GCD(7, 279) = 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 49, 973, 279, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 68, 583, 733, 918
• GCD of 72, 259, 114, 552
• GCD of 73, 388, 470, 289
• GCD of 57, 891, 887, 302
• GCD of 27, 645, 144, 691

1. What is the GCD of 49, 973, 279, 821?

GCD of 49, 973, 279, 821 is 1

2. Where do I get the detailed procedure to find GCD of 49, 973, 279, 821?

You can find a detailed procedure to find GCD of 49, 973, 279, 821 on our page.

3. How to find GCD of 49, 973, 279, 821 on a calculator?

You can find the GCD of 49, 973, 279, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.