GCD of 470, 152, 347, 413 Calculator

Given Input numbers are 470, 152, 347, 413

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 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 347

List of positive integer divisors of 347 that divides 347 without a remainder.

1, 347

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Greatest Common Divisior

We found the divisors of 470, 152, 347, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 152, 347, 413 is 1.

Therefore, GCD of numbers 470, 152, 347, 413 is 1

Given Input Data is 470, 152, 347, 413

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 152 is 2 x 2 x 2 x 19

Prime Factorization of 347 is 347

Prime Factorization of 413 is 7 x 59

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, 152) = 35720

GCD(470, 152) = ( 470 x 152 ) / 35720

GCD(470, 152) = 71440 / 35720

GCD(470, 152) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 347

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

LCM(2, 347) = 694

GCD(2, 347) = ( 2 x 347 ) / 694

GCD(2, 347) = 694 / 694

GCD(2, 347) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 413

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

LCM(1, 413) = 413

GCD(1, 413) = ( 1 x 413 ) / 413

GCD(1, 413) = 413 / 413

GCD(1, 413) = 1

GCD of 470, 152, 347, 413 is 1

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• GCD of 888, 570, 643, 132
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• GCD of 878, 487, 457, 824

1. What is the GCD of 470, 152, 347, 413?

GCD of 470, 152, 347, 413 is 1

2. Where do I get the detailed procedure to find GCD of 470, 152, 347, 413?

You can find a detailed procedure to find GCD of 470, 152, 347, 413 on our page.

3. How to find GCD of 470, 152, 347, 413 on a calculator?

You can find the GCD of 470, 152, 347, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.