GCD of 712, 744, 64, 413 Calculator

Given Input numbers are 712, 744, 64, 413

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 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

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 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Greatest Common Divisior

We found the divisors of 712, 744, 64, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 744, 64, 413 is 1.

Therefore, GCD of numbers 712, 744, 64, 413 is 1

Given Input Data is 712, 744, 64, 413

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 744 is 2 x 2 x 2 x 3 x 31

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

Prime Factorization of 413 is 7 x 59

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, 744) = 66216

GCD(712, 744) = ( 712 x 744 ) / 66216

GCD(712, 744) = 529728 / 66216

GCD(712, 744) = 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 413

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

LCM(8, 413) = 3304

GCD(8, 413) = ( 8 x 413 ) / 3304

GCD(8, 413) = 3304 / 3304

GCD(8, 413) = 1

GCD of 712, 744, 64, 413 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 989, 472, 85, 584
• GCD of 742, 637, 36, 132
• GCD of 168, 507, 30, 172
• GCD of 266, 124, 26, 139
• GCD of 810, 303, 25, 454

1. What is the GCD of 712, 744, 64, 413?

GCD of 712, 744, 64, 413 is 1

2. Where do I get the detailed procedure to find GCD of 712, 744, 64, 413?

You can find a detailed procedure to find GCD of 712, 744, 64, 413 on our page.

3. How to find GCD of 712, 744, 64, 413 on a calculator?

You can find the GCD of 712, 744, 64, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.