GCD of 427, 375, 106, 928 Calculator

Given Input numbers are 427, 375, 106, 928

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

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

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 427, 375, 106, 928 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 427, 375, 106, 928 is 1.

Therefore, GCD of numbers 427, 375, 106, 928 is 1

Given Input Data is 427, 375, 106, 928

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

Prime Factorization of 427 is 7 x 61

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 106 is 2 x 53

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(427, 375) = 160125

GCD(427, 375) = ( 427 x 375 ) / 160125

GCD(427, 375) = 160125 / 160125

GCD(427, 375) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 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 427, 375, 106, 928 is 1

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1. What is the GCD of 427, 375, 106, 928?

GCD of 427, 375, 106, 928 is 1

2. Where do I get the detailed procedure to find GCD of 427, 375, 106, 928?

You can find a detailed procedure to find GCD of 427, 375, 106, 928 on our page.

3. How to find GCD of 427, 375, 106, 928 on a calculator?

You can find the GCD of 427, 375, 106, 928 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.