GCD of 10, 620, 296, 173 Calculator

Given Input numbers are 10, 620, 296, 173

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

Divisors of 10

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

1, 2, 5, 10

Divisors of 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Greatest Common Divisior

We found the divisors of 10, 620, 296, 173 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 620, 296, 173 is 1.

Therefore, GCD of numbers 10, 620, 296, 173 is 1

Given Input Data is 10, 620, 296, 173

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 620 is 2 x 2 x 5 x 31

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 173 is 173

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(10, 620) = 620

GCD(10, 620) = ( 10 x 620 ) / 620

GCD(10, 620) = 6200 / 620

GCD(10, 620) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 296

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

LCM(10, 296) = 1480

GCD(10, 296) = ( 10 x 296 ) / 1480

GCD(10, 296) = 2960 / 1480

GCD(10, 296) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 173

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

LCM(2, 173) = 346

GCD(2, 173) = ( 2 x 173 ) / 346

GCD(2, 173) = 346 / 346

GCD(2, 173) = 1

GCD of 10, 620, 296, 173 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 992, 874, 657
• GCD of 61, 644, 347, 854
• GCD of 21, 938, 772, 609
• GCD of 51, 159, 939, 954
• GCD of 88, 983, 364, 825

1. What is the GCD of 10, 620, 296, 173?

GCD of 10, 620, 296, 173 is 1

2. Where do I get the detailed procedure to find GCD of 10, 620, 296, 173?

You can find a detailed procedure to find GCD of 10, 620, 296, 173 on our page.

3. How to find GCD of 10, 620, 296, 173 on a calculator?

You can find the GCD of 10, 620, 296, 173 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.