GCD of 470, 320, 64, 604 Calculator

Given Input numbers are 470, 320, 64, 604

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 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Greatest Common Divisior

We found the divisors of 470, 320, 64, 604 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 320, 64, 604 is 2.

Therefore, GCD of numbers 470, 320, 64, 604 is 2

Given Input Data is 470, 320, 64, 604

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 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 604 is 2 x 2 x 151

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 320) = 15040

GCD(470, 320) = ( 470 x 320 ) / 15040

GCD(470, 320) = 150400 / 15040

GCD(470, 320) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 64

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

LCM(10, 64) = 320

GCD(10, 64) = ( 10 x 64 ) / 320

GCD(10, 64) = 640 / 320

GCD(10, 64) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 604

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

LCM(2, 604) = 604

GCD(2, 604) = ( 2 x 604 ) / 604

GCD(2, 604) = 1208 / 604

GCD(2, 604) = 2

GCD of 470, 320, 64, 604 is 2

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• GCD of 101, 655, 35, 730
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1. What is the GCD of 470, 320, 64, 604?

GCD of 470, 320, 64, 604 is 2

2. Where do I get the detailed procedure to find GCD of 470, 320, 64, 604?

You can find a detailed procedure to find GCD of 470, 320, 64, 604 on our page.

3. How to find GCD of 470, 320, 64, 604 on a calculator?

You can find the GCD of 470, 320, 64, 604 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.