GCD of 921, 943, 326, 400 Calculator

Given Input numbers are 921, 943, 326, 400

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 943

List of positive integer divisors of 943 that divides 943 without a remainder.

1, 23, 41, 943

Divisors of 326

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

1, 2, 163, 326

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

Greatest Common Divisior

We found the divisors of 921, 943, 326, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 921, 943, 326, 400 is 1.

Therefore, GCD of numbers 921, 943, 326, 400 is 1

Given Input Data is 921, 943, 326, 400

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 921 is 3 x 307

Prime Factorization of 943 is 23 x 41

Prime Factorization of 326 is 2 x 163

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

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(921, 943) = 868503

GCD(921, 943) = ( 921 x 943 ) / 868503

GCD(921, 943) = 868503 / 868503

GCD(921, 943) = 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 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 921, 943, 326, 400 is 1

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1. What is the GCD of 921, 943, 326, 400?

GCD of 921, 943, 326, 400 is 1

2. Where do I get the detailed procedure to find GCD of 921, 943, 326, 400?

You can find a detailed procedure to find GCD of 921, 943, 326, 400 on our page.

3. How to find GCD of 921, 943, 326, 400 on a calculator?

You can find the GCD of 921, 943, 326, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.