GCD of 312, 956, 68, 704 Calculator

Given Input numbers are 312, 956, 68, 704

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 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Greatest Common Divisior

We found the divisors of 312, 956, 68, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 956, 68, 704 is 4.

Therefore, GCD of numbers 312, 956, 68, 704 is 4

Given Input Data is 312, 956, 68, 704

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 956 is 2 x 2 x 239

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 956) = 74568

GCD(312, 956) = ( 312 x 956 ) / 74568

GCD(312, 956) = 298272 / 74568

GCD(312, 956) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 68

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

LCM(4, 68) = 68

GCD(4, 68) = ( 4 x 68 ) / 68

GCD(4, 68) = 272 / 68

GCD(4, 68) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 704

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

LCM(4, 704) = 704

GCD(4, 704) = ( 4 x 704 ) / 704

GCD(4, 704) = 2816 / 704

GCD(4, 704) = 4

GCD of 312, 956, 68, 704 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 532, 410, 59, 527
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• GCD of 773, 345, 36, 174
• GCD of 408, 353, 45, 319
• GCD of 380, 242, 95, 239

1. What is the GCD of 312, 956, 68, 704?

GCD of 312, 956, 68, 704 is 4

2. Where do I get the detailed procedure to find GCD of 312, 956, 68, 704?

You can find a detailed procedure to find GCD of 312, 956, 68, 704 on our page.

3. How to find GCD of 312, 956, 68, 704 on a calculator?

You can find the GCD of 312, 956, 68, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.