GCD of 744, 105, 72, 905 Calculator

Given Input numbers are 744, 105, 72, 905

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 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Greatest Common Divisior

We found the divisors of 744, 105, 72, 905 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 105, 72, 905 is 1.

Therefore, GCD of numbers 744, 105, 72, 905 is 1

Given Input Data is 744, 105, 72, 905

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 105 is 3 x 5 x 7

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 905 is 5 x 181

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, 105) = 26040

GCD(744, 105) = ( 744 x 105 ) / 26040

GCD(744, 105) = 78120 / 26040

GCD(744, 105) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 72

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

LCM(3, 72) = 72

GCD(3, 72) = ( 3 x 72 ) / 72

GCD(3, 72) = 216 / 72

GCD(3, 72) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 905

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

LCM(3, 905) = 2715

GCD(3, 905) = ( 3 x 905 ) / 2715

GCD(3, 905) = 2715 / 2715

GCD(3, 905) = 1

GCD of 744, 105, 72, 905 is 1

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• GCD of 887, 915, 73, 109
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1. What is the GCD of 744, 105, 72, 905?

GCD of 744, 105, 72, 905 is 1

2. Where do I get the detailed procedure to find GCD of 744, 105, 72, 905?

You can find a detailed procedure to find GCD of 744, 105, 72, 905 on our page.

3. How to find GCD of 744, 105, 72, 905 on a calculator?

You can find the GCD of 744, 105, 72, 905 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.