GCD of 362, 868, 993, 310 Calculator

Given Input numbers are 362, 868, 993, 310

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

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

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 362, 868, 993, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 868, 993, 310 is 1.

Therefore, GCD of numbers 362, 868, 993, 310 is 1

Given Input Data is 362, 868, 993, 310

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 993 is 3 x 331

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(362, 868) = 157108

GCD(362, 868) = ( 362 x 868 ) / 157108

GCD(362, 868) = 314216 / 157108

GCD(362, 868) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 993

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

LCM(2, 993) = 1986

GCD(2, 993) = ( 2 x 993 ) / 1986

GCD(2, 993) = 1986 / 1986

GCD(2, 993) = 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 362, 868, 993, 310 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 968, 942, 507, 736
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• GCD of 361, 752, 481, 248

1. What is the GCD of 362, 868, 993, 310?

GCD of 362, 868, 993, 310 is 1

2. Where do I get the detailed procedure to find GCD of 362, 868, 993, 310?

You can find a detailed procedure to find GCD of 362, 868, 993, 310 on our page.

3. How to find GCD of 362, 868, 993, 310 on a calculator?

You can find the GCD of 362, 868, 993, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.