GCD of 309, 219, 707, 125 Calculator

Given Input numbers are 309, 219, 707, 125

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 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Greatest Common Divisior

We found the divisors of 309, 219, 707, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 219, 707, 125 is 1.

Therefore, GCD of numbers 309, 219, 707, 125 is 1

Given Input Data is 309, 219, 707, 125

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 219 is 3 x 73

Prime Factorization of 707 is 7 x 101

Prime Factorization of 125 is 5 x 5 x 5

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, 219) = 22557

GCD(309, 219) = ( 309 x 219 ) / 22557

GCD(309, 219) = 67671 / 22557

GCD(309, 219) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 707

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

LCM(3, 707) = 2121

GCD(3, 707) = ( 3 x 707 ) / 2121

GCD(3, 707) = 2121 / 2121

GCD(3, 707) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 125

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

LCM(1, 125) = 125

GCD(1, 125) = ( 1 x 125 ) / 125

GCD(1, 125) = 125 / 125

GCD(1, 125) = 1

GCD of 309, 219, 707, 125 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 856, 256, 242, 619
• GCD of 653, 177, 496, 251
• GCD of 725, 508, 513, 828
• GCD of 612, 816, 678, 726
• GCD of 319, 806, 620, 707

1. What is the GCD of 309, 219, 707, 125?

GCD of 309, 219, 707, 125 is 1

2. Where do I get the detailed procedure to find GCD of 309, 219, 707, 125?

You can find a detailed procedure to find GCD of 309, 219, 707, 125 on our page.

3. How to find GCD of 309, 219, 707, 125 on a calculator?

You can find the GCD of 309, 219, 707, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.