GCD of 309, 337, 59, 840 Calculator

Given Input numbers are 309, 337, 59, 840

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 337

List of positive integer divisors of 337 that divides 337 without a remainder.

1, 337

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Greatest Common Divisior

We found the divisors of 309, 337, 59, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 337, 59, 840 is 1.

Therefore, GCD of numbers 309, 337, 59, 840 is 1

Given Input Data is 309, 337, 59, 840

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 337 is 337

Prime Factorization of 59 is 59

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

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, 337) = 104133

GCD(309, 337) = ( 309 x 337 ) / 104133

GCD(309, 337) = 104133 / 104133

GCD(309, 337) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 840

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

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

GCD(1, 840) = 840 / 840

GCD(1, 840) = 1

GCD of 309, 337, 59, 840 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 362, 693, 55, 691
• GCD of 853, 755, 13, 535
• GCD of 190, 149, 49, 154
• GCD of 659, 447, 66, 413
• GCD of 141, 533, 72, 755

1. What is the GCD of 309, 337, 59, 840?

GCD of 309, 337, 59, 840 is 1

2. Where do I get the detailed procedure to find GCD of 309, 337, 59, 840?

You can find a detailed procedure to find GCD of 309, 337, 59, 840 on our page.

3. How to find GCD of 309, 337, 59, 840 on a calculator?

You can find the GCD of 309, 337, 59, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.