GCD of 65, 223, 360, 313 Calculator

Given Input numbers are 65, 223, 360, 313

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

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 65, 223, 360, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 223, 360, 313 is 1.

Therefore, GCD of numbers 65, 223, 360, 313 is 1

Given Input Data is 65, 223, 360, 313

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

Prime Factorization of 65 is 5 x 13

Prime Factorization of 223 is 223

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 313 is 313

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(65, 223) = 14495

GCD(65, 223) = ( 65 x 223 ) / 14495

GCD(65, 223) = 14495 / 14495

GCD(65, 223) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 65, 223, 360, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 91, 430, 899, 519
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• GCD of 32, 883, 931, 705

1. What is the GCD of 65, 223, 360, 313?

GCD of 65, 223, 360, 313 is 1

2. Where do I get the detailed procedure to find GCD of 65, 223, 360, 313?

You can find a detailed procedure to find GCD of 65, 223, 360, 313 on our page.

3. How to find GCD of 65, 223, 360, 313 on a calculator?

You can find the GCD of 65, 223, 360, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.