GCD of 400, 141, 326, 738 Calculator

Given Input numbers are 400, 141, 326, 738

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 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 400, 141, 326, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 141, 326, 738 is 1.

Therefore, GCD of numbers 400, 141, 326, 738 is 1

Given Input Data is 400, 141, 326, 738

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 141 is 3 x 47

Prime Factorization of 326 is 2 x 163

Prime Factorization of 738 is 2 x 3 x 3 x 41

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, 141) = 56400

GCD(400, 141) = ( 400 x 141 ) / 56400

GCD(400, 141) = 56400 / 56400

GCD(400, 141) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 326

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

LCM(1, 326) = 326

GCD(1, 326) = ( 1 x 326 ) / 326

GCD(1, 326) = 326 / 326

GCD(1, 326) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

GCD of 400, 141, 326, 738 is 1

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• GCD of 164, 345, 920, 533
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1. What is the GCD of 400, 141, 326, 738?

GCD of 400, 141, 326, 738 is 1

2. Where do I get the detailed procedure to find GCD of 400, 141, 326, 738?

You can find a detailed procedure to find GCD of 400, 141, 326, 738 on our page.

3. How to find GCD of 400, 141, 326, 738 on a calculator?

You can find the GCD of 400, 141, 326, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.