GCD of 495, 286, 464, 743 Calculator

Given Input numbers are 495, 286, 464, 743

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

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 743

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

1, 743

Greatest Common Divisior

We found the divisors of 495, 286, 464, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 286, 464, 743 is 1.

Therefore, GCD of numbers 495, 286, 464, 743 is 1

Given Input Data is 495, 286, 464, 743

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

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 743 is 743

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(495, 286) = 12870

GCD(495, 286) = ( 495 x 286 ) / 12870

GCD(495, 286) = 141570 / 12870

GCD(495, 286) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 464

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

LCM(11, 464) = 5104

GCD(11, 464) = ( 11 x 464 ) / 5104

GCD(11, 464) = 5104 / 5104

GCD(11, 464) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 743

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

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

GCD(1, 743) = 743 / 743

GCD(1, 743) = 1

GCD of 495, 286, 464, 743 is 1

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1. What is the GCD of 495, 286, 464, 743?

GCD of 495, 286, 464, 743 is 1

2. Where do I get the detailed procedure to find GCD of 495, 286, 464, 743?

You can find a detailed procedure to find GCD of 495, 286, 464, 743 on our page.

3. How to find GCD of 495, 286, 464, 743 on a calculator?

You can find the GCD of 495, 286, 464, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.