GCD of 444, 687, 53, 310 Calculator

Given Input numbers are 444, 687, 53, 310

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

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

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 444, 687, 53, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 444, 687, 53, 310 is 1.

Therefore, GCD of numbers 444, 687, 53, 310 is 1

Given Input Data is 444, 687, 53, 310

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

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 687 is 3 x 229

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(444, 687) = 101676

GCD(444, 687) = ( 444 x 687 ) / 101676

GCD(444, 687) = 305028 / 101676

GCD(444, 687) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 53

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

LCM(3, 53) = 159

GCD(3, 53) = ( 3 x 53 ) / 159

GCD(3, 53) = 159 / 159

GCD(3, 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 444, 687, 53, 310 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 322, 627, 22, 180
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• GCD of 902, 509, 86, 553
• GCD of 943, 995, 24, 700
• GCD of 130, 926, 43, 140

1. What is the GCD of 444, 687, 53, 310?

GCD of 444, 687, 53, 310 is 1

2. Where do I get the detailed procedure to find GCD of 444, 687, 53, 310?

You can find a detailed procedure to find GCD of 444, 687, 53, 310 on our page.

3. How to find GCD of 444, 687, 53, 310 on a calculator?

You can find the GCD of 444, 687, 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.