GCD of 10, 136, 752, 171 Calculator

Given Input numbers are 10, 136, 752, 171

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 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Greatest Common Divisior

We found the divisors of 10, 136, 752, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 136, 752, 171 is 1.

Therefore, GCD of numbers 10, 136, 752, 171 is 1

Given Input Data is 10, 136, 752, 171

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 171 is 3 x 3 x 19

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, 136) = 680

GCD(10, 136) = ( 10 x 136 ) / 680

GCD(10, 136) = 1360 / 680

GCD(10, 136) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 752

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

LCM(2, 752) = 752

GCD(2, 752) = ( 2 x 752 ) / 752

GCD(2, 752) = 1504 / 752

GCD(2, 752) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 171

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

LCM(2, 171) = 342

GCD(2, 171) = ( 2 x 171 ) / 342

GCD(2, 171) = 342 / 342

GCD(2, 171) = 1

GCD of 10, 136, 752, 171 is 1

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1. What is the GCD of 10, 136, 752, 171?

GCD of 10, 136, 752, 171 is 1

2. Where do I get the detailed procedure to find GCD of 10, 136, 752, 171?

You can find a detailed procedure to find GCD of 10, 136, 752, 171 on our page.

3. How to find GCD of 10, 136, 752, 171 on a calculator?

You can find the GCD of 10, 136, 752, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.