GCD of 675, 795, 10, 744 Calculator

Given Input numbers are 675, 795, 10, 744

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

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

Greatest Common Divisior

We found the divisors of 675, 795, 10, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 795, 10, 744 is 1.

Therefore, GCD of numbers 675, 795, 10, 744 is 1

Given Input Data is 675, 795, 10, 744

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 795 is 3 x 5 x 53

Prime Factorization of 10 is 2 x 5

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

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(675, 795) = 35775

GCD(675, 795) = ( 675 x 795 ) / 35775

GCD(675, 795) = 536625 / 35775

GCD(675, 795) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 10

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

LCM(15, 10) = 30

GCD(15, 10) = ( 15 x 10 ) / 30

GCD(15, 10) = 150 / 30

GCD(15, 10) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 744

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

LCM(5, 744) = 3720

GCD(5, 744) = ( 5 x 744 ) / 3720

GCD(5, 744) = 3720 / 3720

GCD(5, 744) = 1

GCD of 675, 795, 10, 744 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 928, 956, 73, 920
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• GCD of 775, 408, 43, 323

1. What is the GCD of 675, 795, 10, 744?

GCD of 675, 795, 10, 744 is 1

2. Where do I get the detailed procedure to find GCD of 675, 795, 10, 744?

You can find a detailed procedure to find GCD of 675, 795, 10, 744 on our page.

3. How to find GCD of 675, 795, 10, 744 on a calculator?

You can find the GCD of 675, 795, 10, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.