GCD of 744, 381, 841, 953 Calculator

Given Input numbers are 744, 381, 841, 953

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

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Greatest Common Divisior

We found the divisors of 744, 381, 841, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 381, 841, 953 is 1.

Therefore, GCD of numbers 744, 381, 841, 953 is 1

Given Input Data is 744, 381, 841, 953

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

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 381 is 3 x 127

Prime Factorization of 841 is 29 x 29

Prime Factorization of 953 is 953

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(744, 381) = 94488

GCD(744, 381) = ( 744 x 381 ) / 94488

GCD(744, 381) = 283464 / 94488

GCD(744, 381) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 841

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

LCM(3, 841) = 2523

GCD(3, 841) = ( 3 x 841 ) / 2523

GCD(3, 841) = 2523 / 2523

GCD(3, 841) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 953

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

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

GCD(1, 953) = 953 / 953

GCD(1, 953) = 1

GCD of 744, 381, 841, 953 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 826, 941, 564, 814
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• GCD of 909, 181, 221, 246

1. What is the GCD of 744, 381, 841, 953?

GCD of 744, 381, 841, 953 is 1

2. Where do I get the detailed procedure to find GCD of 744, 381, 841, 953?

You can find a detailed procedure to find GCD of 744, 381, 841, 953 on our page.

3. How to find GCD of 744, 381, 841, 953 on a calculator?

You can find the GCD of 744, 381, 841, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.