GCD of 714, 743, 460, 440 Calculator

Given Input numbers are 714, 743, 460, 440

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

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 743

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

1, 743

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 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Greatest Common Divisior

We found the divisors of 714, 743, 460, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 743, 460, 440 is 1.

Therefore, GCD of numbers 714, 743, 460, 440 is 1

Given Input Data is 714, 743, 460, 440

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

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 743 is 743

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

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

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(714, 743) = 530502

GCD(714, 743) = ( 714 x 743 ) / 530502

GCD(714, 743) = 530502 / 530502

GCD(714, 743) = 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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 440

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

LCM(1, 440) = 440

GCD(1, 440) = ( 1 x 440 ) / 440

GCD(1, 440) = 440 / 440

GCD(1, 440) = 1

GCD of 714, 743, 460, 440 is 1

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1. What is the GCD of 714, 743, 460, 440?

GCD of 714, 743, 460, 440 is 1

2. Where do I get the detailed procedure to find GCD of 714, 743, 460, 440?

You can find a detailed procedure to find GCD of 714, 743, 460, 440 on our page.

3. How to find GCD of 714, 743, 460, 440 on a calculator?

You can find the GCD of 714, 743, 460, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.