GCD of 553, 174, 826, 442 Calculator

Given Input numbers are 553, 174, 826, 442

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

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 442

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

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

Greatest Common Divisior

We found the divisors of 553, 174, 826, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 174, 826, 442 is 1.

Therefore, GCD of numbers 553, 174, 826, 442 is 1

Given Input Data is 553, 174, 826, 442

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

Prime Factorization of 553 is 7 x 79

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 442 is 2 x 13 x 17

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(553, 174) = 96222

GCD(553, 174) = ( 553 x 174 ) / 96222

GCD(553, 174) = 96222 / 96222

GCD(553, 174) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 826

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

LCM(1, 826) = 826

GCD(1, 826) = ( 1 x 826 ) / 826

GCD(1, 826) = 826 / 826

GCD(1, 826) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 442

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

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

GCD(1, 442) = 442 / 442

GCD(1, 442) = 1

GCD of 553, 174, 826, 442 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 977, 227, 588, 909
• GCD of 581, 956, 679, 586
• GCD of 495, 624, 777, 336
• GCD of 962, 835, 975, 135
• GCD of 838, 713, 628, 277

1. What is the GCD of 553, 174, 826, 442?

GCD of 553, 174, 826, 442 is 1

2. Where do I get the detailed procedure to find GCD of 553, 174, 826, 442?

You can find a detailed procedure to find GCD of 553, 174, 826, 442 on our page.

3. How to find GCD of 553, 174, 826, 442 on a calculator?

You can find the GCD of 553, 174, 826, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.