GCD of 127, 744, 460 Calculator

Given Input numbers are 127, 744, 460

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

Divisors of 127

List of positive integer divisors of 127 that divides 127 without a remainder.

1, 127

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 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Greatest Common Divisior

We found the divisors of 127, 744, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 127, 744, 460 is 1.

Therefore, GCD of numbers 127, 744, 460 is 1

Given Input Data is 127, 744, 460

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

Prime Factorization of 127 is 127

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

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(127, 744) = 94488

GCD(127, 744) = ( 127 x 744 ) / 94488

GCD(127, 744) = 94488 / 94488

GCD(127, 744) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 460

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

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

GCD(1, 460) = 460 / 460

GCD(1, 460) = 1

GCD of 127, 744, 460 is 1

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1. What is the GCD of 127, 744, 460?

GCD of 127, 744, 460 is 1

2. Where do I get the detailed procedure to find GCD of 127, 744, 460?

You can find a detailed procedure to find GCD of 127, 744, 460 on our page.

3. How to find GCD of 127, 744, 460 on a calculator?

You can find the GCD of 127, 744, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.