GCD of 442, 827, 71, 974 Calculator

Given Input numbers are 442, 827, 71, 974

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

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Greatest Common Divisior

We found the divisors of 442, 827, 71, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 827, 71, 974 is 1.

Therefore, GCD of numbers 442, 827, 71, 974 is 1

Given Input Data is 442, 827, 71, 974

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

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 827 is 827

Prime Factorization of 71 is 71

Prime Factorization of 974 is 2 x 487

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(442, 827) = 365534

GCD(442, 827) = ( 442 x 827 ) / 365534

GCD(442, 827) = 365534 / 365534

GCD(442, 827) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 974

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

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

GCD(1, 974) = 974 / 974

GCD(1, 974) = 1

GCD of 442, 827, 71, 974 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 122, 167, 14, 946
• GCD of 728, 274, 93, 899
• GCD of 293, 634, 64, 477
• GCD of 723, 229, 16, 908
• GCD of 193, 298, 60, 489

1. What is the GCD of 442, 827, 71, 974?

GCD of 442, 827, 71, 974 is 1

2. Where do I get the detailed procedure to find GCD of 442, 827, 71, 974?

You can find a detailed procedure to find GCD of 442, 827, 71, 974 on our page.

3. How to find GCD of 442, 827, 71, 974 on a calculator?

You can find the GCD of 442, 827, 71, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.