GCD of 460, 744, 551 Calculator

Given Input numbers are 460, 744, 551

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

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

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 551

List of positive integer divisors of 551 that divides 551 without a remainder.

1, 19, 29, 551

Greatest Common Divisior

We found the divisors of 460, 744, 551 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 744, 551 is 1.

Therefore, GCD of numbers 460, 744, 551 is 1

Given Input Data is 460, 744, 551

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

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

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

Prime Factorization of 551 is 19 x 29

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(460, 744) = 85560

GCD(460, 744) = ( 460 x 744 ) / 85560

GCD(460, 744) = 342240 / 85560

GCD(460, 744) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 551

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

LCM(4, 551) = 2204

GCD(4, 551) = ( 4 x 551 ) / 2204

GCD(4, 551) = 2204 / 2204

GCD(4, 551) = 1

GCD of 460, 744, 551 is 1

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1. What is the GCD of 460, 744, 551?

GCD of 460, 744, 551 is 1

2. Where do I get the detailed procedure to find GCD of 460, 744, 551?

You can find a detailed procedure to find GCD of 460, 744, 551 on our page.

3. How to find GCD of 460, 744, 551 on a calculator?

You can find the GCD of 460, 744, 551 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.