GCD of 928, 148, 450 Calculator

Given Input numbers are 928, 148, 450

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

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 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Greatest Common Divisior

We found the divisors of 928, 148, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 148, 450 is 2.

Therefore, GCD of numbers 928, 148, 450 is 2

Given Input Data is 928, 148, 450

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

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

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(928, 148) = 34336

GCD(928, 148) = ( 928 x 148 ) / 34336

GCD(928, 148) = 137344 / 34336

GCD(928, 148) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 450

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

LCM(4, 450) = 900

GCD(4, 450) = ( 4 x 450 ) / 900

GCD(4, 450) = 1800 / 900

GCD(4, 450) = 2

GCD of 928, 148, 450 is 2

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1. What is the GCD of 928, 148, 450?

GCD of 928, 148, 450 is 2

2. Where do I get the detailed procedure to find GCD of 928, 148, 450?

You can find a detailed procedure to find GCD of 928, 148, 450 on our page.

3. How to find GCD of 928, 148, 450 on a calculator?

You can find the GCD of 928, 148, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.