GCD of 687, 155, 85, 820 Calculator

Given Input numbers are 687, 155, 85, 820

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

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 155

List of positive integer divisors of 155 that divides 155 without a remainder.

1, 5, 31, 155

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Greatest Common Divisior

We found the divisors of 687, 155, 85, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 155, 85, 820 is 1.

Therefore, GCD of numbers 687, 155, 85, 820 is 1

Given Input Data is 687, 155, 85, 820

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 155 is 5 x 31

Prime Factorization of 85 is 5 x 17

Prime Factorization of 820 is 2 x 2 x 5 x 41

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(687, 155) = 106485

GCD(687, 155) = ( 687 x 155 ) / 106485

GCD(687, 155) = 106485 / 106485

GCD(687, 155) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

GCD of 687, 155, 85, 820 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 375, 750, 66, 396
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• GCD of 177, 569, 32, 994
• GCD of 998, 691, 13, 295
• GCD of 349, 195, 67, 997

1. What is the GCD of 687, 155, 85, 820?

GCD of 687, 155, 85, 820 is 1

2. Where do I get the detailed procedure to find GCD of 687, 155, 85, 820?

You can find a detailed procedure to find GCD of 687, 155, 85, 820 on our page.

3. How to find GCD of 687, 155, 85, 820 on a calculator?

You can find the GCD of 687, 155, 85, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.