GCD of 606, 450, 645, 674 Calculator

Given Input numbers are 606, 450, 645, 674

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

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

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 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 606, 450, 645, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 606, 450, 645, 674 is 1.

Therefore, GCD of numbers 606, 450, 645, 674 is 1

Given Input Data is 606, 450, 645, 674

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

Prime Factorization of 606 is 2 x 3 x 101

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

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 674 is 2 x 337

The above numbers do not have any common prime factor. So GCD is 1

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(606, 450) = 45450

GCD(606, 450) = ( 606 x 450 ) / 45450

GCD(606, 450) = 272700 / 45450

GCD(606, 450) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 645

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

LCM(6, 645) = 1290

GCD(6, 645) = ( 6 x 645 ) / 1290

GCD(6, 645) = 3870 / 1290

GCD(6, 645) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 674

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

LCM(3, 674) = 2022

GCD(3, 674) = ( 3 x 674 ) / 2022

GCD(3, 674) = 2022 / 2022

GCD(3, 674) = 1

GCD of 606, 450, 645, 674 is 1

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1. What is the GCD of 606, 450, 645, 674?

GCD of 606, 450, 645, 674 is 1

2. Where do I get the detailed procedure to find GCD of 606, 450, 645, 674?

You can find a detailed procedure to find GCD of 606, 450, 645, 674 on our page.

3. How to find GCD of 606, 450, 645, 674 on a calculator?

You can find the GCD of 606, 450, 645, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.