GCD of 834, 200, 584, 553 Calculator

Given Input numbers are 834, 200, 584, 553

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

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

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 834, 200, 584, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 834, 200, 584, 553 is 1.

Therefore, GCD of numbers 834, 200, 584, 553 is 1

Given Input Data is 834, 200, 584, 553

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

Prime Factorization of 834 is 2 x 3 x 139

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 584 is 2 x 2 x 2 x 73

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(834, 200) = 83400

GCD(834, 200) = ( 834 x 200 ) / 83400

GCD(834, 200) = 166800 / 83400

GCD(834, 200) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 584

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

LCM(2, 584) = 584

GCD(2, 584) = ( 2 x 584 ) / 584

GCD(2, 584) = 1168 / 584

GCD(2, 584) = 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 834, 200, 584, 553 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 996, 144, 216, 389
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• GCD of 913, 238, 487, 755

1. What is the GCD of 834, 200, 584, 553?

GCD of 834, 200, 584, 553 is 1

2. Where do I get the detailed procedure to find GCD of 834, 200, 584, 553?

You can find a detailed procedure to find GCD of 834, 200, 584, 553 on our page.

3. How to find GCD of 834, 200, 584, 553 on a calculator?

You can find the GCD of 834, 200, 584, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.