GCD of 86, 489, 462, 153 Calculator

Given Input numbers are 86, 489, 462, 153

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

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Greatest Common Divisior

We found the divisors of 86, 489, 462, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 489, 462, 153 is 1.

Therefore, GCD of numbers 86, 489, 462, 153 is 1

Given Input Data is 86, 489, 462, 153

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

Prime Factorization of 86 is 2 x 43

Prime Factorization of 489 is 3 x 163

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 153 is 3 x 3 x 17

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(86, 489) = 42054

GCD(86, 489) = ( 86 x 489 ) / 42054

GCD(86, 489) = 42054 / 42054

GCD(86, 489) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 462

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

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

GCD(1, 462) = 462 / 462

GCD(1, 462) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 153

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

LCM(1, 153) = 153

GCD(1, 153) = ( 1 x 153 ) / 153

GCD(1, 153) = 153 / 153

GCD(1, 153) = 1

GCD of 86, 489, 462, 153 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 30, 634, 483, 221
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• GCD of 99, 389, 991, 354
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• GCD of 67, 590, 350, 980

1. What is the GCD of 86, 489, 462, 153?

GCD of 86, 489, 462, 153 is 1

2. Where do I get the detailed procedure to find GCD of 86, 489, 462, 153?

You can find a detailed procedure to find GCD of 86, 489, 462, 153 on our page.

3. How to find GCD of 86, 489, 462, 153 on a calculator?

You can find the GCD of 86, 489, 462, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.