GCD of 457, 986, 26, 928 Calculator

Given Input numbers are 457, 986, 26, 928

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

Divisors of 457

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

1, 457

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

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

Greatest Common Divisior

We found the divisors of 457, 986, 26, 928 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 457, 986, 26, 928 is 1.

Therefore, GCD of numbers 457, 986, 26, 928 is 1

Given Input Data is 457, 986, 26, 928

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

Prime Factorization of 457 is 457

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 26 is 2 x 13

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

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(457, 986) = 450602

GCD(457, 986) = ( 457 x 986 ) / 450602

GCD(457, 986) = 450602 / 450602

GCD(457, 986) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 26

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

LCM(1, 26) = 26

GCD(1, 26) = ( 1 x 26 ) / 26

GCD(1, 26) = 26 / 26

GCD(1, 26) = 1

Step3:

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

GCD of 457, 986, 26, 928 is 1

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• GCD of 659, 843, 82, 412
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• GCD of 190, 628, 47, 583

1. What is the GCD of 457, 986, 26, 928?

GCD of 457, 986, 26, 928 is 1

2. Where do I get the detailed procedure to find GCD of 457, 986, 26, 928?

You can find a detailed procedure to find GCD of 457, 986, 26, 928 on our page.

3. How to find GCD of 457, 986, 26, 928 on a calculator?

You can find the GCD of 457, 986, 26, 928 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.