GCD of 470, 280, 585, 175 Calculator

Given Input numbers are 470, 280, 585, 175

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 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Greatest Common Divisior

We found the divisors of 470, 280, 585, 175 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 280, 585, 175 is 5.

Therefore, GCD of numbers 470, 280, 585, 175 is 5

Given Input Data is 470, 280, 585, 175

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 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 175 is 5 x 5 x 7

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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, 280) = 13160

GCD(470, 280) = ( 470 x 280 ) / 13160

GCD(470, 280) = 131600 / 13160

GCD(470, 280) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 585

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

LCM(10, 585) = 1170

GCD(10, 585) = ( 10 x 585 ) / 1170

GCD(10, 585) = 5850 / 1170

GCD(10, 585) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 175

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

LCM(5, 175) = 175

GCD(5, 175) = ( 5 x 175 ) / 175

GCD(5, 175) = 875 / 175

GCD(5, 175) = 5

GCD of 470, 280, 585, 175 is 5

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1. What is the GCD of 470, 280, 585, 175?

GCD of 470, 280, 585, 175 is 5

2. Where do I get the detailed procedure to find GCD of 470, 280, 585, 175?

You can find a detailed procedure to find GCD of 470, 280, 585, 175 on our page.

3. How to find GCD of 470, 280, 585, 175 on a calculator?

You can find the GCD of 470, 280, 585, 175 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.