GCD of 712, 784, 86, 849 Calculator

Given Input numbers are 712, 784, 86, 849

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 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 712, 784, 86, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 784, 86, 849 is 1.

Therefore, GCD of numbers 712, 784, 86, 849 is 1

Given Input Data is 712, 784, 86, 849

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 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 86 is 2 x 43

Prime Factorization of 849 is 3 x 283

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, 784) = 69776

GCD(712, 784) = ( 712 x 784 ) / 69776

GCD(712, 784) = 558208 / 69776

GCD(712, 784) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 86

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

LCM(8, 86) = 344

GCD(8, 86) = ( 8 x 86 ) / 344

GCD(8, 86) = 688 / 344

GCD(8, 86) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 849

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

LCM(2, 849) = 1698

GCD(2, 849) = ( 2 x 849 ) / 1698

GCD(2, 849) = 1698 / 1698

GCD(2, 849) = 1

GCD of 712, 784, 86, 849 is 1

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1. What is the GCD of 712, 784, 86, 849?

GCD of 712, 784, 86, 849 is 1

2. Where do I get the detailed procedure to find GCD of 712, 784, 86, 849?

You can find a detailed procedure to find GCD of 712, 784, 86, 849 on our page.

3. How to find GCD of 712, 784, 86, 849 on a calculator?

You can find the GCD of 712, 784, 86, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.