GCD of 470, 299, 564, 755 Calculator

Given Input numbers are 470, 299, 564, 755

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

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Greatest Common Divisior

We found the divisors of 470, 299, 564, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 299, 564, 755 is 1.

Therefore, GCD of numbers 470, 299, 564, 755 is 1

Given Input Data is 470, 299, 564, 755

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

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 299 is 13 x 23

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 755 is 5 x 151

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(470, 299) = 140530

GCD(470, 299) = ( 470 x 299 ) / 140530

GCD(470, 299) = 140530 / 140530

GCD(470, 299) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 564

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

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

GCD(1, 564) = 564 / 564

GCD(1, 564) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 755

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

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

GCD(1, 755) = 755 / 755

GCD(1, 755) = 1

GCD of 470, 299, 564, 755 is 1

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• GCD of 408, 618, 338, 129
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1. What is the GCD of 470, 299, 564, 755?

GCD of 470, 299, 564, 755 is 1

2. Where do I get the detailed procedure to find GCD of 470, 299, 564, 755?

You can find a detailed procedure to find GCD of 470, 299, 564, 755 on our page.

3. How to find GCD of 470, 299, 564, 755 on a calculator?

You can find the GCD of 470, 299, 564, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.