GCD of 84, 462, 501, 407 Calculator

Given Input numbers are 84, 462, 501, 407

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

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

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 501

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

1, 3, 167, 501

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Greatest Common Divisior

We found the divisors of 84, 462, 501, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 462, 501, 407 is 1.

Therefore, GCD of numbers 84, 462, 501, 407 is 1

Given Input Data is 84, 462, 501, 407

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

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

Prime Factorization of 501 is 3 x 167

Prime Factorization of 407 is 11 x 37

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(84, 462) = 924

GCD(84, 462) = ( 84 x 462 ) / 924

GCD(84, 462) = 38808 / 924

GCD(84, 462) = 42

Step2:

Here we consider the GCD from the above i.e. 42 as first number and the next as 501

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

LCM(42, 501) = 7014

GCD(42, 501) = ( 42 x 501 ) / 7014

GCD(42, 501) = 21042 / 7014

GCD(42, 501) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 407

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

LCM(3, 407) = 1221

GCD(3, 407) = ( 3 x 407 ) / 1221

GCD(3, 407) = 1221 / 1221

GCD(3, 407) = 1

GCD of 84, 462, 501, 407 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 74, 601, 131, 679
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• GCD of 78, 644, 392, 200
• GCD of 66, 349, 156, 309
• GCD of 41, 663, 395, 907

1. What is the GCD of 84, 462, 501, 407?

GCD of 84, 462, 501, 407 is 1

2. Where do I get the detailed procedure to find GCD of 84, 462, 501, 407?

You can find a detailed procedure to find GCD of 84, 462, 501, 407 on our page.

3. How to find GCD of 84, 462, 501, 407 on a calculator?

You can find the GCD of 84, 462, 501, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.