GCD of 865, 470, 53, 310 Calculator

Given Input numbers are 865, 470, 53, 310

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

Divisors of 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Greatest Common Divisior

We found the divisors of 865, 470, 53, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 865, 470, 53, 310 is 1.

Therefore, GCD of numbers 865, 470, 53, 310 is 1

Given Input Data is 865, 470, 53, 310

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

Prime Factorization of 865 is 5 x 173

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 53 is 53

Prime Factorization of 310 is 2 x 5 x 31

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(865, 470) = 81310

GCD(865, 470) = ( 865 x 470 ) / 81310

GCD(865, 470) = 406550 / 81310

GCD(865, 470) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 53

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

LCM(5, 53) = 265

GCD(5, 53) = ( 5 x 53 ) / 265

GCD(5, 53) = 265 / 265

GCD(5, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 310

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

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

GCD(1, 310) = 310 / 310

GCD(1, 310) = 1

GCD of 865, 470, 53, 310 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 141, 852, 91, 867
• GCD of 147, 260, 94, 554
• GCD of 692, 196, 24, 718
• GCD of 414, 637, 51, 250
• GCD of 575, 452, 31, 464

1. What is the GCD of 865, 470, 53, 310?

GCD of 865, 470, 53, 310 is 1

2. Where do I get the detailed procedure to find GCD of 865, 470, 53, 310?

You can find a detailed procedure to find GCD of 865, 470, 53, 310 on our page.

3. How to find GCD of 865, 470, 53, 310 on a calculator?

You can find the GCD of 865, 470, 53, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.