GCD of 460, 175, 335, 399 Calculator

Given Input numbers are 460, 175, 335, 399

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 175

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

1, 5, 7, 25, 35, 175

Divisors of 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Greatest Common Divisior

We found the divisors of 460, 175, 335, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 175, 335, 399 is 1.

Therefore, GCD of numbers 460, 175, 335, 399 is 1

Given Input Data is 460, 175, 335, 399

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 335 is 5 x 67

Prime Factorization of 399 is 3 x 7 x 19

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(460, 175) = 16100

GCD(460, 175) = ( 460 x 175 ) / 16100

GCD(460, 175) = 80500 / 16100

GCD(460, 175) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 335

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

LCM(5, 335) = 335

GCD(5, 335) = ( 5 x 335 ) / 335

GCD(5, 335) = 1675 / 335

GCD(5, 335) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 399

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

LCM(5, 399) = 1995

GCD(5, 399) = ( 5 x 399 ) / 1995

GCD(5, 399) = 1995 / 1995

GCD(5, 399) = 1

GCD of 460, 175, 335, 399 is 1

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1. What is the GCD of 460, 175, 335, 399?

GCD of 460, 175, 335, 399 is 1

2. Where do I get the detailed procedure to find GCD of 460, 175, 335, 399?

You can find a detailed procedure to find GCD of 460, 175, 335, 399 on our page.

3. How to find GCD of 460, 175, 335, 399 on a calculator?

You can find the GCD of 460, 175, 335, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.