GCD of 176, 628, 900 Calculator

Given Input numbers are 176, 628, 900

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

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 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Greatest Common Divisior

We found the divisors of 176, 628, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 628, 900 is 4.

Therefore, GCD of numbers 176, 628, 900 is 4

Given Input Data is 176, 628, 900

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

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

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(176, 628) = 27632

GCD(176, 628) = ( 176 x 628 ) / 27632

GCD(176, 628) = 110528 / 27632

GCD(176, 628) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 900

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

LCM(4, 900) = 900

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

GCD(4, 900) = 3600 / 900

GCD(4, 900) = 4

GCD of 176, 628, 900 is 4

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• GCD of 310, 525, 123
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1. What is the GCD of 176, 628, 900?

GCD of 176, 628, 900 is 4

2. Where do I get the detailed procedure to find GCD of 176, 628, 900?

You can find a detailed procedure to find GCD of 176, 628, 900 on our page.

3. How to find GCD of 176, 628, 900 on a calculator?

You can find the GCD of 176, 628, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.