GCD of 498, 457, 928, 858 Calculator

Given Input numbers are 498, 457, 928, 858

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 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Greatest Common Divisior

We found the divisors of 498, 457, 928, 858 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 457, 928, 858 is 1.

Therefore, GCD of numbers 498, 457, 928, 858 is 1

Given Input Data is 498, 457, 928, 858

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 457 is 457

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 858 is 2 x 3 x 11 x 13

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, 457) = 227586

GCD(498, 457) = ( 498 x 457 ) / 227586

GCD(498, 457) = 227586 / 227586

GCD(498, 457) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 928

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

LCM(1, 928) = 928

GCD(1, 928) = ( 1 x 928 ) / 928

GCD(1, 928) = 928 / 928

GCD(1, 928) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 858

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

LCM(1, 858) = 858

GCD(1, 858) = ( 1 x 858 ) / 858

GCD(1, 858) = 858 / 858

GCD(1, 858) = 1

GCD of 498, 457, 928, 858 is 1

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1. What is the GCD of 498, 457, 928, 858?

GCD of 498, 457, 928, 858 is 1

2. Where do I get the detailed procedure to find GCD of 498, 457, 928, 858?

You can find a detailed procedure to find GCD of 498, 457, 928, 858 on our page.

3. How to find GCD of 498, 457, 928, 858 on a calculator?

You can find the GCD of 498, 457, 928, 858 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.