GCD of 712, 256, 64, 484 Calculator

Given Input numbers are 712, 256, 64, 484

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 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Greatest Common Divisior

We found the divisors of 712, 256, 64, 484 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 256, 64, 484 is 4.

Therefore, GCD of numbers 712, 256, 64, 484 is 4

Given Input Data is 712, 256, 64, 484

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 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 484 is 2 x 2 x 11 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(712, 256) = 22784

GCD(712, 256) = ( 712 x 256 ) / 22784

GCD(712, 256) = 182272 / 22784

GCD(712, 256) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 64

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

LCM(8, 64) = 64

GCD(8, 64) = ( 8 x 64 ) / 64

GCD(8, 64) = 512 / 64

GCD(8, 64) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 484

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

LCM(8, 484) = 968

GCD(8, 484) = ( 8 x 484 ) / 968

GCD(8, 484) = 3872 / 968

GCD(8, 484) = 4

GCD of 712, 256, 64, 484 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 140, 732, 87, 986
• GCD of 484, 676, 72, 795
• GCD of 217, 459, 36, 482
• GCD of 992, 973, 46, 310
• GCD of 170, 892, 49, 431

1. What is the GCD of 712, 256, 64, 484?

GCD of 712, 256, 64, 484 is 4

2. Where do I get the detailed procedure to find GCD of 712, 256, 64, 484?

You can find a detailed procedure to find GCD of 712, 256, 64, 484 on our page.

3. How to find GCD of 712, 256, 64, 484 on a calculator?

You can find the GCD of 712, 256, 64, 484 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.