GCD of 474, 569, 747, 414 Calculator

Given Input numbers are 474, 569, 747, 414

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

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 569

List of positive integer divisors of 569 that divides 569 without a remainder.

1, 569

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

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 474, 569, 747, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 569, 747, 414 is 1.

Therefore, GCD of numbers 474, 569, 747, 414 is 1

Given Input Data is 474, 569, 747, 414

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

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 569 is 569

Prime Factorization of 747 is 3 x 3 x 83

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(474, 569) = 269706

GCD(474, 569) = ( 474 x 569 ) / 269706

GCD(474, 569) = 269706 / 269706

GCD(474, 569) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 747

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

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

GCD(1, 747) = 747 / 747

GCD(1, 747) = 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 474, 569, 747, 414 is 1

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• GCD of 245, 519, 992, 248
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• GCD of 896, 404, 120, 493

1. What is the GCD of 474, 569, 747, 414?

GCD of 474, 569, 747, 414 is 1

2. Where do I get the detailed procedure to find GCD of 474, 569, 747, 414?

You can find a detailed procedure to find GCD of 474, 569, 747, 414 on our page.

3. How to find GCD of 474, 569, 747, 414 on a calculator?

You can find the GCD of 474, 569, 747, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.