GCD of 712, 308, 93, 648 Calculator

Given Input numbers are 712, 308, 93, 648

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

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 93

List of positive integer divisors of 93 that divides 93 without a remainder.

1, 3, 31, 93

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Greatest Common Divisior

We found the divisors of 712, 308, 93, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 308, 93, 648 is 1.

Therefore, GCD of numbers 712, 308, 93, 648 is 1

Given Input Data is 712, 308, 93, 648

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

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 93 is 3 x 31

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

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(712, 308) = 54824

GCD(712, 308) = ( 712 x 308 ) / 54824

GCD(712, 308) = 219296 / 54824

GCD(712, 308) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 93

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

LCM(4, 93) = 372

GCD(4, 93) = ( 4 x 93 ) / 372

GCD(4, 93) = 372 / 372

GCD(4, 93) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1

GCD of 712, 308, 93, 648 is 1

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1. What is the GCD of 712, 308, 93, 648?

GCD of 712, 308, 93, 648 is 1

2. Where do I get the detailed procedure to find GCD of 712, 308, 93, 648?

You can find a detailed procedure to find GCD of 712, 308, 93, 648 on our page.

3. How to find GCD of 712, 308, 93, 648 on a calculator?

You can find the GCD of 712, 308, 93, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.