GCD of 705, 944, 19, 738 Calculator

Given Input numbers are 705, 944, 19, 738

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

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

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 705, 944, 19, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 944, 19, 738 is 1.

Therefore, GCD of numbers 705, 944, 19, 738 is 1

Given Input Data is 705, 944, 19, 738

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 19 is 19

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(705, 944) = 665520

GCD(705, 944) = ( 705 x 944 ) / 665520

GCD(705, 944) = 665520 / 665520

GCD(705, 944) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 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 705, 944, 19, 738 is 1

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• GCD of 122, 885, 45, 591
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• GCD of 209, 444, 65, 101

1. What is the GCD of 705, 944, 19, 738?

GCD of 705, 944, 19, 738 is 1

2. Where do I get the detailed procedure to find GCD of 705, 944, 19, 738?

You can find a detailed procedure to find GCD of 705, 944, 19, 738 on our page.

3. How to find GCD of 705, 944, 19, 738 on a calculator?

You can find the GCD of 705, 944, 19, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.