GCD of 650, 261, 10, 172 Calculator

Given Input numbers are 650, 261, 10, 172

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 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 172

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

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 650, 261, 10, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 650, 261, 10, 172 is 1.

Therefore, GCD of numbers 650, 261, 10, 172 is 1

Given Input Data is 650, 261, 10, 172

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 261 is 3 x 3 x 29

Prime Factorization of 10 is 2 x 5

Prime Factorization of 172 is 2 x 2 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(650, 261) = 169650

GCD(650, 261) = ( 650 x 261 ) / 169650

GCD(650, 261) = 169650 / 169650

GCD(650, 261) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

GCD of 650, 261, 10, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 615, 603, 52, 886
• GCD of 853, 991, 66, 118
• GCD of 895, 534, 16, 242
• GCD of 609, 825, 86, 838
• GCD of 343, 961, 20, 775

1. What is the GCD of 650, 261, 10, 172?

GCD of 650, 261, 10, 172 is 1

2. Where do I get the detailed procedure to find GCD of 650, 261, 10, 172?

You can find a detailed procedure to find GCD of 650, 261, 10, 172 on our page.

3. How to find GCD of 650, 261, 10, 172 on a calculator?

You can find the GCD of 650, 261, 10, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.