GCD of 471, 493, 507, 414 Calculator

Given Input numbers are 471, 493, 507, 414

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

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 471, 493, 507, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 493, 507, 414 is 1.

Therefore, GCD of numbers 471, 493, 507, 414 is 1

Given Input Data is 471, 493, 507, 414

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

Prime Factorization of 471 is 3 x 157

Prime Factorization of 493 is 17 x 29

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 414 is 2 x 3 x 3 x 23

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(471, 493) = 232203

GCD(471, 493) = ( 471 x 493 ) / 232203

GCD(471, 493) = 232203 / 232203

GCD(471, 493) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 507

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

LCM(1, 507) = 507

GCD(1, 507) = ( 1 x 507 ) / 507

GCD(1, 507) = 507 / 507

GCD(1, 507) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

GCD of 471, 493, 507, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 335, 721, 693, 791
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• GCD of 378, 337, 757, 849
• GCD of 975, 977, 994, 467

1. What is the GCD of 471, 493, 507, 414?

GCD of 471, 493, 507, 414 is 1

2. Where do I get the detailed procedure to find GCD of 471, 493, 507, 414?

You can find a detailed procedure to find GCD of 471, 493, 507, 414 on our page.

3. How to find GCD of 471, 493, 507, 414 on a calculator?

You can find the GCD of 471, 493, 507, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.