GCD of 509, 149, 69, 685 Calculator

Given Input numbers are 509, 149, 69, 685

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

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

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 509, 149, 69, 685 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 149, 69, 685 is 1.

Therefore, GCD of numbers 509, 149, 69, 685 is 1

Given Input Data is 509, 149, 69, 685

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

Prime Factorization of 509 is 509

Prime Factorization of 149 is 149

Prime Factorization of 69 is 3 x 23

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(509, 149) = 75841

GCD(509, 149) = ( 509 x 149 ) / 75841

GCD(509, 149) = 75841 / 75841

GCD(509, 149) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 685

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

LCM(1, 685) = 685

GCD(1, 685) = ( 1 x 685 ) / 685

GCD(1, 685) = 685 / 685

GCD(1, 685) = 1

GCD of 509, 149, 69, 685 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 741, 275, 70, 215
• GCD of 135, 924, 49, 878
• GCD of 872, 333, 21, 904
• GCD of 903, 474, 50, 247
• GCD of 730, 865, 68, 917

1. What is the GCD of 509, 149, 69, 685?

GCD of 509, 149, 69, 685 is 1

2. Where do I get the detailed procedure to find GCD of 509, 149, 69, 685?

You can find a detailed procedure to find GCD of 509, 149, 69, 685 on our page.

3. How to find GCD of 509, 149, 69, 685 on a calculator?

You can find the GCD of 509, 149, 69, 685 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.