GCD of 650, 745, 17, 800 Calculator

Given Input numbers are 650, 745, 17, 800

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

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Greatest Common Divisior

We found the divisors of 650, 745, 17, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 650, 745, 17, 800 is 1.

Therefore, GCD of numbers 650, 745, 17, 800 is 1

Given Input Data is 650, 745, 17, 800

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

Prime Factorization of 650 is 2 x 5 x 5 x 13

Prime Factorization of 745 is 5 x 149

Prime Factorization of 17 is 17

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

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(650, 745) = 96850

GCD(650, 745) = ( 650 x 745 ) / 96850

GCD(650, 745) = 484250 / 96850

GCD(650, 745) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 17

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

LCM(5, 17) = 85

GCD(5, 17) = ( 5 x 17 ) / 85

GCD(5, 17) = 85 / 85

GCD(5, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

GCD of 650, 745, 17, 800 is 1

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• GCD of 668, 790, 74, 515
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• GCD of 410, 571, 10, 715

1. What is the GCD of 650, 745, 17, 800?

GCD of 650, 745, 17, 800 is 1

2. Where do I get the detailed procedure to find GCD of 650, 745, 17, 800?

You can find a detailed procedure to find GCD of 650, 745, 17, 800 on our page.

3. How to find GCD of 650, 745, 17, 800 on a calculator?

You can find the GCD of 650, 745, 17, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.