GCD of 468, 795, 743, 128 Calculator

Given Input numbers are 468, 795, 743, 128

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

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Greatest Common Divisior

We found the divisors of 468, 795, 743, 128 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 795, 743, 128 is 1.

Therefore, GCD of numbers 468, 795, 743, 128 is 1

Given Input Data is 468, 795, 743, 128

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

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 795 is 3 x 5 x 53

Prime Factorization of 743 is 743

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

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(468, 795) = 124020

GCD(468, 795) = ( 468 x 795 ) / 124020

GCD(468, 795) = 372060 / 124020

GCD(468, 795) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 743

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

LCM(3, 743) = 2229

GCD(3, 743) = ( 3 x 743 ) / 2229

GCD(3, 743) = 2229 / 2229

GCD(3, 743) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 128

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

LCM(1, 128) = 128

GCD(1, 128) = ( 1 x 128 ) / 128

GCD(1, 128) = 128 / 128

GCD(1, 128) = 1

GCD of 468, 795, 743, 128 is 1

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1. What is the GCD of 468, 795, 743, 128?

GCD of 468, 795, 743, 128 is 1

2. Where do I get the detailed procedure to find GCD of 468, 795, 743, 128?

You can find a detailed procedure to find GCD of 468, 795, 743, 128 on our page.

3. How to find GCD of 468, 795, 743, 128 on a calculator?

You can find the GCD of 468, 795, 743, 128 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.