GCD of 750, 665, 493, 645 Calculator

Given Input numbers are 750, 665, 493, 645

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

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

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 750, 665, 493, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 665, 493, 645 is 1.

Therefore, GCD of numbers 750, 665, 493, 645 is 1

Given Input Data is 750, 665, 493, 645

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

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 665 is 5 x 7 x 19

Prime Factorization of 493 is 17 x 29

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(750, 665) = 99750

GCD(750, 665) = ( 750 x 665 ) / 99750

GCD(750, 665) = 498750 / 99750

GCD(750, 665) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 493

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

LCM(5, 493) = 2465

GCD(5, 493) = ( 5 x 493 ) / 2465

GCD(5, 493) = 2465 / 2465

GCD(5, 493) = 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 750, 665, 493, 645 is 1

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1. What is the GCD of 750, 665, 493, 645?

GCD of 750, 665, 493, 645 is 1

2. Where do I get the detailed procedure to find GCD of 750, 665, 493, 645?

You can find a detailed procedure to find GCD of 750, 665, 493, 645 on our page.

3. How to find GCD of 750, 665, 493, 645 on a calculator?

You can find the GCD of 750, 665, 493, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.