GCD of 309, 659, 69, 950 Calculator

Given Input numbers are 309, 659, 69, 950

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

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 69

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

1, 3, 23, 69

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Greatest Common Divisior

We found the divisors of 309, 659, 69, 950 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 659, 69, 950 is 1.

Therefore, GCD of numbers 309, 659, 69, 950 is 1

Given Input Data is 309, 659, 69, 950

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 659 is 659

Prime Factorization of 69 is 3 x 23

Prime Factorization of 950 is 2 x 5 x 5 x 19

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(309, 659) = 203631

GCD(309, 659) = ( 309 x 659 ) / 203631

GCD(309, 659) = 203631 / 203631

GCD(309, 659) = 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 950

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

LCM(1, 950) = 950

GCD(1, 950) = ( 1 x 950 ) / 950

GCD(1, 950) = 950 / 950

GCD(1, 950) = 1

GCD of 309, 659, 69, 950 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 628, 273, 78, 502
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• GCD of 217, 879, 39, 484
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• GCD of 680, 290, 42, 610

1. What is the GCD of 309, 659, 69, 950?

GCD of 309, 659, 69, 950 is 1

2. Where do I get the detailed procedure to find GCD of 309, 659, 69, 950?

You can find a detailed procedure to find GCD of 309, 659, 69, 950 on our page.

3. How to find GCD of 309, 659, 69, 950 on a calculator?

You can find the GCD of 309, 659, 69, 950 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.