GCD of 170, 634, 523, 797 Calculator

Given Input numbers are 170, 634, 523, 797

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

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 797

List of positive integer divisors of 797 that divides 797 without a remainder.

1, 797

Greatest Common Divisior

We found the divisors of 170, 634, 523, 797 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 634, 523, 797 is 1.

Therefore, GCD of numbers 170, 634, 523, 797 is 1

Given Input Data is 170, 634, 523, 797

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

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 634 is 2 x 317

Prime Factorization of 523 is 523

Prime Factorization of 797 is 797

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(170, 634) = 53890

GCD(170, 634) = ( 170 x 634 ) / 53890

GCD(170, 634) = 107780 / 53890

GCD(170, 634) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 523

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

LCM(2, 523) = 1046

GCD(2, 523) = ( 2 x 523 ) / 1046

GCD(2, 523) = 1046 / 1046

GCD(2, 523) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 797

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

LCM(1, 797) = 797

GCD(1, 797) = ( 1 x 797 ) / 797

GCD(1, 797) = 797 / 797

GCD(1, 797) = 1

GCD of 170, 634, 523, 797 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 445, 460, 740, 743
• GCD of 662, 273, 928, 452
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• GCD of 743, 549, 526, 734

1. What is the GCD of 170, 634, 523, 797?

GCD of 170, 634, 523, 797 is 1

2. Where do I get the detailed procedure to find GCD of 170, 634, 523, 797?

You can find a detailed procedure to find GCD of 170, 634, 523, 797 on our page.

3. How to find GCD of 170, 634, 523, 797 on a calculator?

You can find the GCD of 170, 634, 523, 797 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.