GCD of 608, 741, 312 Calculator

Given Input numbers are 608, 741, 312

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

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

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 608, 741, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 608, 741, 312 is 1.

Therefore, GCD of numbers 608, 741, 312 is 1

Given Input Data is 608, 741, 312

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

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 741 is 3 x 13 x 19

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

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(608, 741) = 23712

GCD(608, 741) = ( 608 x 741 ) / 23712

GCD(608, 741) = 450528 / 23712

GCD(608, 741) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 312

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

LCM(19, 312) = 5928

GCD(19, 312) = ( 19 x 312 ) / 5928

GCD(19, 312) = 5928 / 5928

GCD(19, 312) = 1

GCD of 608, 741, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 725, 447, 112
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• GCD of 177, 533, 846
• GCD of 467, 120, 277

1. What is the GCD of 608, 741, 312?

GCD of 608, 741, 312 is 1

2. Where do I get the detailed procedure to find GCD of 608, 741, 312?

You can find a detailed procedure to find GCD of 608, 741, 312 on our page.

3. How to find GCD of 608, 741, 312 on a calculator?

You can find the GCD of 608, 741, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.