GCD of 712, 434, 64, 522 Calculator

Given Input numbers are 712, 434, 64, 522

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 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

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 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Greatest Common Divisior

We found the divisors of 712, 434, 64, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 434, 64, 522 is 2.

Therefore, GCD of numbers 712, 434, 64, 522 is 2

Given Input Data is 712, 434, 64, 522

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 434 is 2 x 7 x 31

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

Prime Factorization of 522 is 2 x 3 x 3 x 29

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(712, 434) = 154504

GCD(712, 434) = ( 712 x 434 ) / 154504

GCD(712, 434) = 309008 / 154504

GCD(712, 434) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 64

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

LCM(2, 64) = 64

GCD(2, 64) = ( 2 x 64 ) / 64

GCD(2, 64) = 128 / 64

GCD(2, 64) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 522

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

LCM(2, 522) = 522

GCD(2, 522) = ( 2 x 522 ) / 522

GCD(2, 522) = 1044 / 522

GCD(2, 522) = 2

GCD of 712, 434, 64, 522 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 304, 924, 27, 603
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• GCD of 932, 732, 59, 105

1. What is the GCD of 712, 434, 64, 522?

GCD of 712, 434, 64, 522 is 2

2. Where do I get the detailed procedure to find GCD of 712, 434, 64, 522?

You can find a detailed procedure to find GCD of 712, 434, 64, 522 on our page.

3. How to find GCD of 712, 434, 64, 522 on a calculator?

You can find the GCD of 712, 434, 64, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.