GCD of 135, 667, 314, 489 Calculator

Given Input numbers are 135, 667, 314, 489

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

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 489

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

1, 3, 163, 489

Greatest Common Divisior

We found the divisors of 135, 667, 314, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 667, 314, 489 is 1.

Therefore, GCD of numbers 135, 667, 314, 489 is 1

Given Input Data is 135, 667, 314, 489

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

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 667 is 23 x 29

Prime Factorization of 314 is 2 x 157

Prime Factorization of 489 is 3 x 163

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(135, 667) = 90045

GCD(135, 667) = ( 135 x 667 ) / 90045

GCD(135, 667) = 90045 / 90045

GCD(135, 667) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 489

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

LCM(1, 489) = 489

GCD(1, 489) = ( 1 x 489 ) / 489

GCD(1, 489) = 489 / 489

GCD(1, 489) = 1

GCD of 135, 667, 314, 489 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 243, 231, 974, 570
• GCD of 568, 661, 616, 389
• GCD of 570, 385, 778, 432
• GCD of 273, 840, 423, 185
• GCD of 892, 570, 348, 861

1. What is the GCD of 135, 667, 314, 489?

GCD of 135, 667, 314, 489 is 1

2. Where do I get the detailed procedure to find GCD of 135, 667, 314, 489?

You can find a detailed procedure to find GCD of 135, 667, 314, 489 on our page.

3. How to find GCD of 135, 667, 314, 489 on a calculator?

You can find the GCD of 135, 667, 314, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.