GCD of 315, 749, 331, 610 Calculator

Given Input numbers are 315, 749, 331, 610

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 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Greatest Common Divisior

We found the divisors of 315, 749, 331, 610 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 749, 331, 610 is 1.

Therefore, GCD of numbers 315, 749, 331, 610 is 1

Given Input Data is 315, 749, 331, 610

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 749 is 7 x 107

Prime Factorization of 331 is 331

Prime Factorization of 610 is 2 x 5 x 61

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, 749) = 33705

GCD(315, 749) = ( 315 x 749 ) / 33705

GCD(315, 749) = 235935 / 33705

GCD(315, 749) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 331

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

LCM(7, 331) = 2317

GCD(7, 331) = ( 7 x 331 ) / 2317

GCD(7, 331) = 2317 / 2317

GCD(7, 331) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 610

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

LCM(1, 610) = 610

GCD(1, 610) = ( 1 x 610 ) / 610

GCD(1, 610) = 610 / 610

GCD(1, 610) = 1

GCD of 315, 749, 331, 610 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 259, 323, 353, 685
• GCD of 593, 441, 357, 389
• GCD of 727, 941, 568, 213
• GCD of 656, 511, 456, 937
• GCD of 131, 335, 743, 578

1. What is the GCD of 315, 749, 331, 610?

GCD of 315, 749, 331, 610 is 1

2. Where do I get the detailed procedure to find GCD of 315, 749, 331, 610?

You can find a detailed procedure to find GCD of 315, 749, 331, 610 on our page.

3. How to find GCD of 315, 749, 331, 610 on a calculator?

You can find the GCD of 315, 749, 331, 610 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.