GCD of 462, 705, 418, 501 Calculator

Given Input numbers are 462, 705, 418, 501

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 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Greatest Common Divisior

We found the divisors of 462, 705, 418, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 705, 418, 501 is 1.

Therefore, GCD of numbers 462, 705, 418, 501 is 1

Given Input Data is 462, 705, 418, 501

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 705 is 3 x 5 x 47

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 501 is 3 x 167

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, 705) = 108570

GCD(462, 705) = ( 462 x 705 ) / 108570

GCD(462, 705) = 325710 / 108570

GCD(462, 705) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 418

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

LCM(3, 418) = 1254

GCD(3, 418) = ( 3 x 418 ) / 1254

GCD(3, 418) = 1254 / 1254

GCD(3, 418) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 501

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

LCM(1, 501) = 501

GCD(1, 501) = ( 1 x 501 ) / 501

GCD(1, 501) = 501 / 501

GCD(1, 501) = 1

GCD of 462, 705, 418, 501 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 721, 727, 460, 633
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• GCD of 396, 212, 217, 806
• GCD of 941, 733, 895, 884
• GCD of 198, 950, 852, 721

1. What is the GCD of 462, 705, 418, 501?

GCD of 462, 705, 418, 501 is 1

2. Where do I get the detailed procedure to find GCD of 462, 705, 418, 501?

You can find a detailed procedure to find GCD of 462, 705, 418, 501 on our page.

3. How to find GCD of 462, 705, 418, 501 on a calculator?

You can find the GCD of 462, 705, 418, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.