GCD of 648, 685, 74, 645 Calculator

Given Input numbers are 648, 685, 74, 645

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

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 645

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

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

Greatest Common Divisior

We found the divisors of 648, 685, 74, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 685, 74, 645 is 1.

Therefore, GCD of numbers 648, 685, 74, 645 is 1

Given Input Data is 648, 685, 74, 645

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

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 685 is 5 x 137

Prime Factorization of 74 is 2 x 37

Prime Factorization of 645 is 3 x 5 x 43

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(648, 685) = 443880

GCD(648, 685) = ( 648 x 685 ) / 443880

GCD(648, 685) = 443880 / 443880

GCD(648, 685) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 645

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

LCM(1, 645) = 645

GCD(1, 645) = ( 1 x 645 ) / 645

GCD(1, 645) = 645 / 645

GCD(1, 645) = 1

GCD of 648, 685, 74, 645 is 1

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1. What is the GCD of 648, 685, 74, 645?

GCD of 648, 685, 74, 645 is 1

2. Where do I get the detailed procedure to find GCD of 648, 685, 74, 645?

You can find a detailed procedure to find GCD of 648, 685, 74, 645 on our page.

3. How to find GCD of 648, 685, 74, 645 on a calculator?

You can find the GCD of 648, 685, 74, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.