GCD of 717, 744, 762, 692 Calculator

Given Input numbers are 717, 744, 762, 692

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

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

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 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Greatest Common Divisior

We found the divisors of 717, 744, 762, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 717, 744, 762, 692 is 1.

Therefore, GCD of numbers 717, 744, 762, 692 is 1

Given Input Data is 717, 744, 762, 692

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

Prime Factorization of 717 is 3 x 239

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

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 692 is 2 x 2 x 173

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(717, 744) = 177816

GCD(717, 744) = ( 717 x 744 ) / 177816

GCD(717, 744) = 533448 / 177816

GCD(717, 744) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 762

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

LCM(3, 762) = 762

GCD(3, 762) = ( 3 x 762 ) / 762

GCD(3, 762) = 2286 / 762

GCD(3, 762) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 692

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

LCM(3, 692) = 2076

GCD(3, 692) = ( 3 x 692 ) / 2076

GCD(3, 692) = 2076 / 2076

GCD(3, 692) = 1

GCD of 717, 744, 762, 692 is 1

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1. What is the GCD of 717, 744, 762, 692?

GCD of 717, 744, 762, 692 is 1

2. Where do I get the detailed procedure to find GCD of 717, 744, 762, 692?

You can find a detailed procedure to find GCD of 717, 744, 762, 692 on our page.

3. How to find GCD of 717, 744, 762, 692 on a calculator?

You can find the GCD of 717, 744, 762, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.