GCD of 400, 933, 53, 348 Calculator

Given Input numbers are 400, 933, 53, 348

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

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 933

List of positive integer divisors of 933 that divides 933 without a remainder.

1, 3, 311, 933

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 400, 933, 53, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 933, 53, 348 is 1.

Therefore, GCD of numbers 400, 933, 53, 348 is 1

Given Input Data is 400, 933, 53, 348

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

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 933 is 3 x 311

Prime Factorization of 53 is 53

Prime Factorization of 348 is 2 x 2 x 3 x 29

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(400, 933) = 373200

GCD(400, 933) = ( 400 x 933 ) / 373200

GCD(400, 933) = 373200 / 373200

GCD(400, 933) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

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

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 1

GCD of 400, 933, 53, 348 is 1

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• GCD of 894, 270, 83, 232
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1. What is the GCD of 400, 933, 53, 348?

GCD of 400, 933, 53, 348 is 1

2. Where do I get the detailed procedure to find GCD of 400, 933, 53, 348?

You can find a detailed procedure to find GCD of 400, 933, 53, 348 on our page.

3. How to find GCD of 400, 933, 53, 348 on a calculator?

You can find the GCD of 400, 933, 53, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.