GCD of 743, 560, 466 Calculator

Given Input numbers are 743, 560, 466

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

Divisors of 743

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

1, 743

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Greatest Common Divisior

We found the divisors of 743, 560, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 560, 466 is 1.

Therefore, GCD of numbers 743, 560, 466 is 1

Given Input Data is 743, 560, 466

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

Prime Factorization of 743 is 743

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 466 is 2 x 233

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(743, 560) = 416080

GCD(743, 560) = ( 743 x 560 ) / 416080

GCD(743, 560) = 416080 / 416080

GCD(743, 560) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 466

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

LCM(1, 466) = 466

GCD(1, 466) = ( 1 x 466 ) / 466

GCD(1, 466) = 466 / 466

GCD(1, 466) = 1

GCD of 743, 560, 466 is 1

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1. What is the GCD of 743, 560, 466?

GCD of 743, 560, 466 is 1

2. Where do I get the detailed procedure to find GCD of 743, 560, 466?

You can find a detailed procedure to find GCD of 743, 560, 466 on our page.

3. How to find GCD of 743, 560, 466 on a calculator?

You can find the GCD of 743, 560, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.