GCD of 171, 474, 78, 685 Calculator

Given Input numbers are 171, 474, 78, 685

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 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Greatest Common Divisior

We found the divisors of 171, 474, 78, 685 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 474, 78, 685 is 1.

Therefore, GCD of numbers 171, 474, 78, 685 is 1

Given Input Data is 171, 474, 78, 685

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 474 is 2 x 3 x 79

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 685 is 5 x 137

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, 474) = 27018

GCD(171, 474) = ( 171 x 474 ) / 27018

GCD(171, 474) = 81054 / 27018

GCD(171, 474) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 78

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

LCM(3, 78) = 78

GCD(3, 78) = ( 3 x 78 ) / 78

GCD(3, 78) = 234 / 78

GCD(3, 78) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 685

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

LCM(3, 685) = 2055

GCD(3, 685) = ( 3 x 685 ) / 2055

GCD(3, 685) = 2055 / 2055

GCD(3, 685) = 1

GCD of 171, 474, 78, 685 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 117, 180, 66, 571
• GCD of 145, 452, 95, 685
• GCD of 915, 381, 46, 687
• GCD of 880, 543, 79, 496
• GCD of 700, 497, 48, 584

1. What is the GCD of 171, 474, 78, 685?

GCD of 171, 474, 78, 685 is 1

2. Where do I get the detailed procedure to find GCD of 171, 474, 78, 685?

You can find a detailed procedure to find GCD of 171, 474, 78, 685 on our page.

3. How to find GCD of 171, 474, 78, 685 on a calculator?

You can find the GCD of 171, 474, 78, 685 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.