GCD of 400, 273, 172, 104 Calculator

Given Input numbers are 400, 273, 172, 104

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 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Greatest Common Divisior

We found the divisors of 400, 273, 172, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 273, 172, 104 is 1.

Therefore, GCD of numbers 400, 273, 172, 104 is 1

Given Input Data is 400, 273, 172, 104

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 273 is 3 x 7 x 13

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 104 is 2 x 2 x 2 x 13

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, 273) = 109200

GCD(400, 273) = ( 400 x 273 ) / 109200

GCD(400, 273) = 109200 / 109200

GCD(400, 273) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 104

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

LCM(1, 104) = 104

GCD(1, 104) = ( 1 x 104 ) / 104

GCD(1, 104) = 104 / 104

GCD(1, 104) = 1

GCD of 400, 273, 172, 104 is 1

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• GCD of 144, 350, 400, 395
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1. What is the GCD of 400, 273, 172, 104?

GCD of 400, 273, 172, 104 is 1

2. Where do I get the detailed procedure to find GCD of 400, 273, 172, 104?

You can find a detailed procedure to find GCD of 400, 273, 172, 104 on our page.

3. How to find GCD of 400, 273, 172, 104 on a calculator?

You can find the GCD of 400, 273, 172, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.