GCD of 742, 687, 569, 744 Calculator

Given Input numbers are 742, 687, 569, 744

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 569

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

1, 569

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

Greatest Common Divisior

We found the divisors of 742, 687, 569, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 687, 569, 744 is 1.

Therefore, GCD of numbers 742, 687, 569, 744 is 1

Given Input Data is 742, 687, 569, 744

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 687 is 3 x 229

Prime Factorization of 569 is 569

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

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(742, 687) = 509754

GCD(742, 687) = ( 742 x 687 ) / 509754

GCD(742, 687) = 509754 / 509754

GCD(742, 687) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 569

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

LCM(1, 569) = 569

GCD(1, 569) = ( 1 x 569 ) / 569

GCD(1, 569) = 569 / 569

GCD(1, 569) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 744

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

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

GCD(1, 744) = 744 / 744

GCD(1, 744) = 1

GCD of 742, 687, 569, 744 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 487, 718, 513, 619
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• GCD of 286, 228, 567, 798

1. What is the GCD of 742, 687, 569, 744?

GCD of 742, 687, 569, 744 is 1

2. Where do I get the detailed procedure to find GCD of 742, 687, 569, 744?

You can find a detailed procedure to find GCD of 742, 687, 569, 744 on our page.

3. How to find GCD of 742, 687, 569, 744 on a calculator?

You can find the GCD of 742, 687, 569, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.