GCD of 460, 463, 464, 693 Calculator

Given Input numbers are 460, 463, 464, 693

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 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

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 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Greatest Common Divisior

We found the divisors of 460, 463, 464, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 463, 464, 693 is 1.

Therefore, GCD of numbers 460, 463, 464, 693 is 1

Given Input Data is 460, 463, 464, 693

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 463 is 463

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

Prime Factorization of 693 is 3 x 3 x 7 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(460, 463) = 212980

GCD(460, 463) = ( 460 x 463 ) / 212980

GCD(460, 463) = 212980 / 212980

GCD(460, 463) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 464

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

LCM(1, 464) = 464

GCD(1, 464) = ( 1 x 464 ) / 464

GCD(1, 464) = 464 / 464

GCD(1, 464) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 693

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

LCM(1, 693) = 693

GCD(1, 693) = ( 1 x 693 ) / 693

GCD(1, 693) = 693 / 693

GCD(1, 693) = 1

GCD of 460, 463, 464, 693 is 1

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1. What is the GCD of 460, 463, 464, 693?

GCD of 460, 463, 464, 693 is 1

2. Where do I get the detailed procedure to find GCD of 460, 463, 464, 693?

You can find a detailed procedure to find GCD of 460, 463, 464, 693 on our page.

3. How to find GCD of 460, 463, 464, 693 on a calculator?

You can find the GCD of 460, 463, 464, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.