GCD of 828, 334, 44, 553 Calculator

Given Input numbers are 828, 334, 44, 553

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

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 553

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

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 828, 334, 44, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 334, 44, 553 is 1.

Therefore, GCD of numbers 828, 334, 44, 553 is 1

Given Input Data is 828, 334, 44, 553

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 334 is 2 x 167

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 553 is 7 x 79

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(828, 334) = 138276

GCD(828, 334) = ( 828 x 334 ) / 138276

GCD(828, 334) = 276552 / 138276

GCD(828, 334) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 44

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

LCM(2, 44) = 44

GCD(2, 44) = ( 2 x 44 ) / 44

GCD(2, 44) = 88 / 44

GCD(2, 44) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 553

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

LCM(2, 553) = 1106

GCD(2, 553) = ( 2 x 553 ) / 1106

GCD(2, 553) = 1106 / 1106

GCD(2, 553) = 1

GCD of 828, 334, 44, 553 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 514, 933, 21, 407
• GCD of 219, 740, 81, 278
• GCD of 899, 756, 79, 550
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• GCD of 519, 414, 56, 531

1. What is the GCD of 828, 334, 44, 553?

GCD of 828, 334, 44, 553 is 1

2. Where do I get the detailed procedure to find GCD of 828, 334, 44, 553?

You can find a detailed procedure to find GCD of 828, 334, 44, 553 on our page.

3. How to find GCD of 828, 334, 44, 553 on a calculator?

You can find the GCD of 828, 334, 44, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.