GCD of 400, 476, 377, 588 Calculator

Given Input numbers are 400, 476, 377, 588

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 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Greatest Common Divisior

We found the divisors of 400, 476, 377, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 476, 377, 588 is 1.

Therefore, GCD of numbers 400, 476, 377, 588 is 1

Given Input Data is 400, 476, 377, 588

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 476 is 2 x 2 x 7 x 17

Prime Factorization of 377 is 13 x 29

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

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, 476) = 47600

GCD(400, 476) = ( 400 x 476 ) / 47600

GCD(400, 476) = 190400 / 47600

GCD(400, 476) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 377

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

LCM(4, 377) = 1508

GCD(4, 377) = ( 4 x 377 ) / 1508

GCD(4, 377) = 1508 / 1508

GCD(4, 377) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 588

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

LCM(1, 588) = 588

GCD(1, 588) = ( 1 x 588 ) / 588

GCD(1, 588) = 588 / 588

GCD(1, 588) = 1

GCD of 400, 476, 377, 588 is 1

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1. What is the GCD of 400, 476, 377, 588?

GCD of 400, 476, 377, 588 is 1

2. Where do I get the detailed procedure to find GCD of 400, 476, 377, 588?

You can find a detailed procedure to find GCD of 400, 476, 377, 588 on our page.

3. How to find GCD of 400, 476, 377, 588 on a calculator?

You can find the GCD of 400, 476, 377, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.