GCD of 400, 343, 96, 673 Calculator

Given Input numbers are 400, 343, 96, 673

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 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 673

List of positive integer divisors of 673 that divides 673 without a remainder.

1, 673

Greatest Common Divisior

We found the divisors of 400, 343, 96, 673 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 343, 96, 673 is 1.

Therefore, GCD of numbers 400, 343, 96, 673 is 1

Given Input Data is 400, 343, 96, 673

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 343 is 7 x 7 x 7

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 673 is 673

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, 343) = 137200

GCD(400, 343) = ( 400 x 343 ) / 137200

GCD(400, 343) = 137200 / 137200

GCD(400, 343) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 673

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

LCM(1, 673) = 673

GCD(1, 673) = ( 1 x 673 ) / 673

GCD(1, 673) = 673 / 673

GCD(1, 673) = 1

GCD of 400, 343, 96, 673 is 1

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• GCD of 686, 555, 54, 689
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1. What is the GCD of 400, 343, 96, 673?

GCD of 400, 343, 96, 673 is 1

2. Where do I get the detailed procedure to find GCD of 400, 343, 96, 673?

You can find a detailed procedure to find GCD of 400, 343, 96, 673 on our page.

3. How to find GCD of 400, 343, 96, 673 on a calculator?

You can find the GCD of 400, 343, 96, 673 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.