GCD of 82, 678, 202, 312 Calculator

Given Input numbers are 82, 678, 202, 312

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

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

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

Greatest Common Divisior

We found the divisors of 82, 678, 202, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 678, 202, 312 is 2.

Therefore, GCD of numbers 82, 678, 202, 312 is 2

Given Input Data is 82, 678, 202, 312

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 202 is 2 x 101

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(82, 678) = 27798

GCD(82, 678) = ( 82 x 678 ) / 27798

GCD(82, 678) = 55596 / 27798

GCD(82, 678) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 202

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

LCM(2, 202) = 202

GCD(2, 202) = ( 2 x 202 ) / 202

GCD(2, 202) = 404 / 202

GCD(2, 202) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 312

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

LCM(2, 312) = 312

GCD(2, 312) = ( 2 x 312 ) / 312

GCD(2, 312) = 624 / 312

GCD(2, 312) = 2

GCD of 82, 678, 202, 312 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 28, 172, 579, 347
• GCD of 16, 845, 242, 519
• GCD of 31, 881, 692, 563
• GCD of 18, 988, 502, 924
• GCD of 20, 189, 693, 917

1. What is the GCD of 82, 678, 202, 312?

GCD of 82, 678, 202, 312 is 2

2. Where do I get the detailed procedure to find GCD of 82, 678, 202, 312?

You can find a detailed procedure to find GCD of 82, 678, 202, 312 on our page.

3. How to find GCD of 82, 678, 202, 312 on a calculator?

You can find the GCD of 82, 678, 202, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.