GCD of 434, 171, 160, 575 Calculator

Given Input numbers are 434, 171, 160, 575

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

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

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

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Greatest Common Divisior

We found the divisors of 434, 171, 160, 575 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 171, 160, 575 is 1.

Therefore, GCD of numbers 434, 171, 160, 575 is 1

Given Input Data is 434, 171, 160, 575

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

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 575 is 5 x 5 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(434, 171) = 74214

GCD(434, 171) = ( 434 x 171 ) / 74214

GCD(434, 171) = 74214 / 74214

GCD(434, 171) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 160

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

LCM(1, 160) = 160

GCD(1, 160) = ( 1 x 160 ) / 160

GCD(1, 160) = 160 / 160

GCD(1, 160) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 575

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

LCM(1, 575) = 575

GCD(1, 575) = ( 1 x 575 ) / 575

GCD(1, 575) = 575 / 575

GCD(1, 575) = 1

GCD of 434, 171, 160, 575 is 1

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1. What is the GCD of 434, 171, 160, 575?

GCD of 434, 171, 160, 575 is 1

2. Where do I get the detailed procedure to find GCD of 434, 171, 160, 575?

You can find a detailed procedure to find GCD of 434, 171, 160, 575 on our page.

3. How to find GCD of 434, 171, 160, 575 on a calculator?

You can find the GCD of 434, 171, 160, 575 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.