GCD of 312, 321, 702 Calculator

Given Input numbers are 312, 321, 702

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Greatest Common Divisior

We found the divisors of 312, 321, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 321, 702 is 3.

Therefore, GCD of numbers 312, 321, 702 is 3

Given Input Data is 312, 321, 702

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 321 is 3 x 107

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(312, 321) = 33384

GCD(312, 321) = ( 312 x 321 ) / 33384

GCD(312, 321) = 100152 / 33384

GCD(312, 321) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 702

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

LCM(3, 702) = 702

GCD(3, 702) = ( 3 x 702 ) / 702

GCD(3, 702) = 2106 / 702

GCD(3, 702) = 3

GCD of 312, 321, 702 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 120, 315, 602
• GCD of 329, 479, 628
• GCD of 998, 671, 384
• GCD of 199, 153, 704
• GCD of 850, 210, 580

1. What is the GCD of 312, 321, 702?

GCD of 312, 321, 702 is 3

2. Where do I get the detailed procedure to find GCD of 312, 321, 702?

You can find a detailed procedure to find GCD of 312, 321, 702 on our page.

3. How to find GCD of 312, 321, 702 on a calculator?

You can find the GCD of 312, 321, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.