GCD of 821, 959, 37, 803 Calculator

Given Input numbers are 821, 959, 37, 803

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 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Greatest Common Divisior

We found the divisors of 821, 959, 37, 803 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 959, 37, 803 is 1.

Therefore, GCD of numbers 821, 959, 37, 803 is 1

Given Input Data is 821, 959, 37, 803

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

Prime Factorization of 821 is 821

Prime Factorization of 959 is 7 x 137

Prime Factorization of 37 is 37

Prime Factorization of 803 is 11 x 73

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, 959) = 787339

GCD(821, 959) = ( 821 x 959 ) / 787339

GCD(821, 959) = 787339 / 787339

GCD(821, 959) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 803

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

LCM(1, 803) = 803

GCD(1, 803) = ( 1 x 803 ) / 803

GCD(1, 803) = 803 / 803

GCD(1, 803) = 1

GCD of 821, 959, 37, 803 is 1

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1. What is the GCD of 821, 959, 37, 803?

GCD of 821, 959, 37, 803 is 1

2. Where do I get the detailed procedure to find GCD of 821, 959, 37, 803?

You can find a detailed procedure to find GCD of 821, 959, 37, 803 on our page.

3. How to find GCD of 821, 959, 37, 803 on a calculator?

You can find the GCD of 821, 959, 37, 803 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.