GCD of 462, 562, 66, 505 Calculator

Given Input numbers are 462, 562, 66, 505

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

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Greatest Common Divisior

We found the divisors of 462, 562, 66, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 562, 66, 505 is 1.

Therefore, GCD of numbers 462, 562, 66, 505 is 1

Given Input Data is 462, 562, 66, 505

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

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 562 is 2 x 281

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 505 is 5 x 101

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(462, 562) = 129822

GCD(462, 562) = ( 462 x 562 ) / 129822

GCD(462, 562) = 259644 / 129822

GCD(462, 562) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 66

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

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

GCD(2, 66) = 132 / 66

GCD(2, 66) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 505

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

LCM(2, 505) = 1010

GCD(2, 505) = ( 2 x 505 ) / 1010

GCD(2, 505) = 1010 / 1010

GCD(2, 505) = 1

GCD of 462, 562, 66, 505 is 1

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• GCD of 840, 248, 49, 326
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1. What is the GCD of 462, 562, 66, 505?

GCD of 462, 562, 66, 505 is 1

2. Where do I get the detailed procedure to find GCD of 462, 562, 66, 505?

You can find a detailed procedure to find GCD of 462, 562, 66, 505 on our page.

3. How to find GCD of 462, 562, 66, 505 on a calculator?

You can find the GCD of 462, 562, 66, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.