GCD of 315, 457, 610, 818 Calculator

Given Input numbers are 315, 457, 610, 818

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 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 610

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

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

Divisors of 818

List of positive integer divisors of 818 that divides 818 without a remainder.

1, 2, 409, 818

Greatest Common Divisior

We found the divisors of 315, 457, 610, 818 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 457, 610, 818 is 1.

Therefore, GCD of numbers 315, 457, 610, 818 is 1

Given Input Data is 315, 457, 610, 818

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 457 is 457

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 818 is 2 x 409

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, 457) = 143955

GCD(315, 457) = ( 315 x 457 ) / 143955

GCD(315, 457) = 143955 / 143955

GCD(315, 457) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 818

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

LCM(1, 818) = 818

GCD(1, 818) = ( 1 x 818 ) / 818

GCD(1, 818) = 818 / 818

GCD(1, 818) = 1

GCD of 315, 457, 610, 818 is 1

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1. What is the GCD of 315, 457, 610, 818?

GCD of 315, 457, 610, 818 is 1

2. Where do I get the detailed procedure to find GCD of 315, 457, 610, 818?

You can find a detailed procedure to find GCD of 315, 457, 610, 818 on our page.

3. How to find GCD of 315, 457, 610, 818 on a calculator?

You can find the GCD of 315, 457, 610, 818 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.