GCD of 450, 982, 618 Calculator

Given Input numbers are 450, 982, 618

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 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Greatest Common Divisior

We found the divisors of 450, 982, 618 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 982, 618 is 2.

Therefore, GCD of numbers 450, 982, 618 is 2

Given Input Data is 450, 982, 618

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 982 is 2 x 491

Prime Factorization of 618 is 2 x 3 x 103

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, 982) = 220950

GCD(450, 982) = ( 450 x 982 ) / 220950

GCD(450, 982) = 441900 / 220950

GCD(450, 982) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 618

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

LCM(2, 618) = 618

GCD(2, 618) = ( 2 x 618 ) / 618

GCD(2, 618) = 1236 / 618

GCD(2, 618) = 2

GCD of 450, 982, 618 is 2

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• GCD of 583, 105, 582
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1. What is the GCD of 450, 982, 618?

GCD of 450, 982, 618 is 2

2. Where do I get the detailed procedure to find GCD of 450, 982, 618?

You can find a detailed procedure to find GCD of 450, 982, 618 on our page.

3. How to find GCD of 450, 982, 618 on a calculator?

You can find the GCD of 450, 982, 618 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.