GCD of 171, 650, 698, 521 Calculator

Given Input numbers are 171, 650, 698, 521

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 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 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Greatest Common Divisior

We found the divisors of 171, 650, 698, 521 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 650, 698, 521 is 1.

Therefore, GCD of numbers 171, 650, 698, 521 is 1

Given Input Data is 171, 650, 698, 521

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 650 is 2 x 5 x 5 x 13

Prime Factorization of 698 is 2 x 349

Prime Factorization of 521 is 521

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, 650) = 111150

GCD(171, 650) = ( 171 x 650 ) / 111150

GCD(171, 650) = 111150 / 111150

GCD(171, 650) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 521

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

LCM(1, 521) = 521

GCD(1, 521) = ( 1 x 521 ) / 521

GCD(1, 521) = 521 / 521

GCD(1, 521) = 1

GCD of 171, 650, 698, 521 is 1

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1. What is the GCD of 171, 650, 698, 521?

GCD of 171, 650, 698, 521 is 1

2. Where do I get the detailed procedure to find GCD of 171, 650, 698, 521?

You can find a detailed procedure to find GCD of 171, 650, 698, 521 on our page.

3. How to find GCD of 171, 650, 698, 521 on a calculator?

You can find the GCD of 171, 650, 698, 521 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.