GCD of 400, 672, 488, 271 Calculator

Given Input numbers are 400, 672, 488, 271

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 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Greatest Common Divisior

We found the divisors of 400, 672, 488, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 672, 488, 271 is 1.

Therefore, GCD of numbers 400, 672, 488, 271 is 1

Given Input Data is 400, 672, 488, 271

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 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 271 is 271

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, 672) = 16800

GCD(400, 672) = ( 400 x 672 ) / 16800

GCD(400, 672) = 268800 / 16800

GCD(400, 672) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 488

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

LCM(16, 488) = 976

GCD(16, 488) = ( 16 x 488 ) / 976

GCD(16, 488) = 7808 / 976

GCD(16, 488) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 271

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

LCM(8, 271) = 2168

GCD(8, 271) = ( 8 x 271 ) / 2168

GCD(8, 271) = 2168 / 2168

GCD(8, 271) = 1

GCD of 400, 672, 488, 271 is 1

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1. What is the GCD of 400, 672, 488, 271?

GCD of 400, 672, 488, 271 is 1

2. Where do I get the detailed procedure to find GCD of 400, 672, 488, 271?

You can find a detailed procedure to find GCD of 400, 672, 488, 271 on our page.

3. How to find GCD of 400, 672, 488, 271 on a calculator?

You can find the GCD of 400, 672, 488, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.