GCD of 650, 172, 553, 687 Calculator

Given Input numbers are 650, 172, 553, 687

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 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Greatest Common Divisior

We found the divisors of 650, 172, 553, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 650, 172, 553, 687 is 1.

Therefore, GCD of numbers 650, 172, 553, 687 is 1

Given Input Data is 650, 172, 553, 687

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 172 is 2 x 2 x 43

Prime Factorization of 553 is 7 x 79

Prime Factorization of 687 is 3 x 229

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, 172) = 55900

GCD(650, 172) = ( 650 x 172 ) / 55900

GCD(650, 172) = 111800 / 55900

GCD(650, 172) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 553

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

LCM(2, 553) = 1106

GCD(2, 553) = ( 2 x 553 ) / 1106

GCD(2, 553) = 1106 / 1106

GCD(2, 553) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 687

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

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

GCD(1, 687) = 687 / 687

GCD(1, 687) = 1

GCD of 650, 172, 553, 687 is 1

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1. What is the GCD of 650, 172, 553, 687?

GCD of 650, 172, 553, 687 is 1

2. Where do I get the detailed procedure to find GCD of 650, 172, 553, 687?

You can find a detailed procedure to find GCD of 650, 172, 553, 687 on our page.

3. How to find GCD of 650, 172, 553, 687 on a calculator?

You can find the GCD of 650, 172, 553, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.