GCD of 498, 450, 626 Calculator

Given Input numbers are 498, 450, 626

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

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

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 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Greatest Common Divisior

We found the divisors of 498, 450, 626 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 450, 626 is 2.

Therefore, GCD of numbers 498, 450, 626 is 2

Given Input Data is 498, 450, 626

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

Prime Factorization of 498 is 2 x 3 x 83

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

Prime Factorization of 626 is 2 x 313

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(498, 450) = 37350

GCD(498, 450) = ( 498 x 450 ) / 37350

GCD(498, 450) = 224100 / 37350

GCD(498, 450) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 626

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

LCM(6, 626) = 1878

GCD(6, 626) = ( 6 x 626 ) / 1878

GCD(6, 626) = 3756 / 1878

GCD(6, 626) = 2

GCD of 498, 450, 626 is 2

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1. What is the GCD of 498, 450, 626?

GCD of 498, 450, 626 is 2

2. Where do I get the detailed procedure to find GCD of 498, 450, 626?

You can find a detailed procedure to find GCD of 498, 450, 626 on our page.

3. How to find GCD of 498, 450, 626 on a calculator?

You can find the GCD of 498, 450, 626 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.