GCD of 498, 175, 428, 830 Calculator

Given Input numbers are 498, 175, 428, 830

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

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 175

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

1, 5, 7, 25, 35, 175

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Greatest Common Divisior

We found the divisors of 498, 175, 428, 830 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 175, 428, 830 is 1.

Therefore, GCD of numbers 498, 175, 428, 830 is 1

Given Input Data is 498, 175, 428, 830

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 830 is 2 x 5 x 83

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(498, 175) = 87150

GCD(498, 175) = ( 498 x 175 ) / 87150

GCD(498, 175) = 87150 / 87150

GCD(498, 175) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 428

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

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

GCD(1, 428) = 428 / 428

GCD(1, 428) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 830

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

LCM(1, 830) = 830

GCD(1, 830) = ( 1 x 830 ) / 830

GCD(1, 830) = 830 / 830

GCD(1, 830) = 1

GCD of 498, 175, 428, 830 is 1

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1. What is the GCD of 498, 175, 428, 830?

GCD of 498, 175, 428, 830 is 1

2. Where do I get the detailed procedure to find GCD of 498, 175, 428, 830?

You can find a detailed procedure to find GCD of 498, 175, 428, 830 on our page.

3. How to find GCD of 498, 175, 428, 830 on a calculator?

You can find the GCD of 498, 175, 428, 830 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.