GCD of 476, 416, 75, 731 Calculator

Given Input numbers are 476, 416, 75, 731

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

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Greatest Common Divisior

We found the divisors of 476, 416, 75, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 416, 75, 731 is 1.

Therefore, GCD of numbers 476, 416, 75, 731 is 1

Given Input Data is 476, 416, 75, 731

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

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 731 is 17 x 43

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(476, 416) = 49504

GCD(476, 416) = ( 476 x 416 ) / 49504

GCD(476, 416) = 198016 / 49504

GCD(476, 416) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 75

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

LCM(4, 75) = 300

GCD(4, 75) = ( 4 x 75 ) / 300

GCD(4, 75) = 300 / 300

GCD(4, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 731

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

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

GCD(1, 731) = 731 / 731

GCD(1, 731) = 1

GCD of 476, 416, 75, 731 is 1

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• GCD of 639, 963, 47, 324
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• GCD of 245, 273, 22, 437

1. What is the GCD of 476, 416, 75, 731?

GCD of 476, 416, 75, 731 is 1

2. Where do I get the detailed procedure to find GCD of 476, 416, 75, 731?

You can find a detailed procedure to find GCD of 476, 416, 75, 731 on our page.

3. How to find GCD of 476, 416, 75, 731 on a calculator?

You can find the GCD of 476, 416, 75, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.