GCD of 10, 874, 355, 441 Calculator

Given Input numbers are 10, 874, 355, 441

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Greatest Common Divisior

We found the divisors of 10, 874, 355, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 874, 355, 441 is 1.

Therefore, GCD of numbers 10, 874, 355, 441 is 1

Given Input Data is 10, 874, 355, 441

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 355 is 5 x 71

Prime Factorization of 441 is 3 x 3 x 7 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(10, 874) = 4370

GCD(10, 874) = ( 10 x 874 ) / 4370

GCD(10, 874) = 8740 / 4370

GCD(10, 874) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 355

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

LCM(2, 355) = 710

GCD(2, 355) = ( 2 x 355 ) / 710

GCD(2, 355) = 710 / 710

GCD(2, 355) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 441

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

LCM(1, 441) = 441

GCD(1, 441) = ( 1 x 441 ) / 441

GCD(1, 441) = 441 / 441

GCD(1, 441) = 1

GCD of 10, 874, 355, 441 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 27, 759, 972, 143
• GCD of 17, 538, 407, 666
• GCD of 49, 144, 420, 451
• GCD of 70, 578, 536, 248
• GCD of 31, 658, 132, 187

1. What is the GCD of 10, 874, 355, 441?

GCD of 10, 874, 355, 441 is 1

2. Where do I get the detailed procedure to find GCD of 10, 874, 355, 441?

You can find a detailed procedure to find GCD of 10, 874, 355, 441 on our page.

3. How to find GCD of 10, 874, 355, 441 on a calculator?

You can find the GCD of 10, 874, 355, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.