GCD of 171, 610, 796, 147 Calculator

Given Input numbers are 171, 610, 796, 147

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

Divisors of 171

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

1, 3, 9, 19, 57, 171

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Greatest Common Divisior

We found the divisors of 171, 610, 796, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 610, 796, 147 is 1.

Therefore, GCD of numbers 171, 610, 796, 147 is 1

Given Input Data is 171, 610, 796, 147

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

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 147 is 3 x 7 x 7

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(171, 610) = 104310

GCD(171, 610) = ( 171 x 610 ) / 104310

GCD(171, 610) = 104310 / 104310

GCD(171, 610) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 796

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

LCM(1, 796) = 796

GCD(1, 796) = ( 1 x 796 ) / 796

GCD(1, 796) = 796 / 796

GCD(1, 796) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 147

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

LCM(1, 147) = 147

GCD(1, 147) = ( 1 x 147 ) / 147

GCD(1, 147) = 147 / 147

GCD(1, 147) = 1

GCD of 171, 610, 796, 147 is 1

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1. What is the GCD of 171, 610, 796, 147?

GCD of 171, 610, 796, 147 is 1

2. Where do I get the detailed procedure to find GCD of 171, 610, 796, 147?

You can find a detailed procedure to find GCD of 171, 610, 796, 147 on our page.

3. How to find GCD of 171, 610, 796, 147 on a calculator?

You can find the GCD of 171, 610, 796, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.