GCD of 315, 937, 20, 614 Calculator

Given Input numbers are 315, 937, 20, 614

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

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 937

List of positive integer divisors of 937 that divides 937 without a remainder.

1, 937

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Greatest Common Divisior

We found the divisors of 315, 937, 20, 614 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 937, 20, 614 is 1.

Therefore, GCD of numbers 315, 937, 20, 614 is 1

Given Input Data is 315, 937, 20, 614

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

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 937 is 937

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 614 is 2 x 307

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(315, 937) = 295155

GCD(315, 937) = ( 315 x 937 ) / 295155

GCD(315, 937) = 295155 / 295155

GCD(315, 937) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 614

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

LCM(1, 614) = 614

GCD(1, 614) = ( 1 x 614 ) / 614

GCD(1, 614) = 614 / 614

GCD(1, 614) = 1

GCD of 315, 937, 20, 614 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 487, 435, 28, 326
• GCD of 718, 168, 14, 192
• GCD of 795, 801, 72, 829
• GCD of 475, 176, 96, 425
• GCD of 934, 745, 51, 487

1. What is the GCD of 315, 937, 20, 614?

GCD of 315, 937, 20, 614 is 1

2. Where do I get the detailed procedure to find GCD of 315, 937, 20, 614?

You can find a detailed procedure to find GCD of 315, 937, 20, 614 on our page.

3. How to find GCD of 315, 937, 20, 614 on a calculator?

You can find the GCD of 315, 937, 20, 614 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.