GCD of 712, 569, 14, 740 Calculator

Given Input numbers are 712, 569, 14, 740

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 569

List of positive integer divisors of 569 that divides 569 without a remainder.

1, 569

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Greatest Common Divisior

We found the divisors of 712, 569, 14, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 569, 14, 740 is 1.

Therefore, GCD of numbers 712, 569, 14, 740 is 1

Given Input Data is 712, 569, 14, 740

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 569 is 569

Prime Factorization of 14 is 2 x 7

Prime Factorization of 740 is 2 x 2 x 5 x 37

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, 569) = 405128

GCD(712, 569) = ( 712 x 569 ) / 405128

GCD(712, 569) = 405128 / 405128

GCD(712, 569) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 740

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

LCM(1, 740) = 740

GCD(1, 740) = ( 1 x 740 ) / 740

GCD(1, 740) = 740 / 740

GCD(1, 740) = 1

GCD of 712, 569, 14, 740 is 1

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1. What is the GCD of 712, 569, 14, 740?

GCD of 712, 569, 14, 740 is 1

2. Where do I get the detailed procedure to find GCD of 712, 569, 14, 740?

You can find a detailed procedure to find GCD of 712, 569, 14, 740 on our page.

3. How to find GCD of 712, 569, 14, 740 on a calculator?

You can find the GCD of 712, 569, 14, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.