GCD of 450, 176, 248, 960 Calculator

Given Input numbers are 450, 176, 248, 960

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

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

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Greatest Common Divisior

We found the divisors of 450, 176, 248, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 176, 248, 960 is 2.

Therefore, GCD of numbers 450, 176, 248, 960 is 2

Given Input Data is 450, 176, 248, 960

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

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

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 248 is 2 x 2 x 2 x 31

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 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(450, 176) = 39600

GCD(450, 176) = ( 450 x 176 ) / 39600

GCD(450, 176) = 79200 / 39600

GCD(450, 176) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 248

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

LCM(2, 248) = 248

GCD(2, 248) = ( 2 x 248 ) / 248

GCD(2, 248) = 496 / 248

GCD(2, 248) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 960

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

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

GCD(2, 960) = 1920 / 960

GCD(2, 960) = 2

GCD of 450, 176, 248, 960 is 2

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1. What is the GCD of 450, 176, 248, 960?

GCD of 450, 176, 248, 960 is 2

2. Where do I get the detailed procedure to find GCD of 450, 176, 248, 960?

You can find a detailed procedure to find GCD of 450, 176, 248, 960 on our page.

3. How to find GCD of 450, 176, 248, 960 on a calculator?

You can find the GCD of 450, 176, 248, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.