GCD of 759, 739, 214, 496 Calculator

Given Input numbers are 759, 739, 214, 496

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

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Greatest Common Divisior

We found the divisors of 759, 739, 214, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 739, 214, 496 is 1.

Therefore, GCD of numbers 759, 739, 214, 496 is 1

Given Input Data is 759, 739, 214, 496

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

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 739 is 739

Prime Factorization of 214 is 2 x 107

Prime Factorization of 496 is 2 x 2 x 2 x 2 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(759, 739) = 560901

GCD(759, 739) = ( 759 x 739 ) / 560901

GCD(759, 739) = 560901 / 560901

GCD(759, 739) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 496

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

LCM(1, 496) = 496

GCD(1, 496) = ( 1 x 496 ) / 496

GCD(1, 496) = 496 / 496

GCD(1, 496) = 1

GCD of 759, 739, 214, 496 is 1

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1. What is the GCD of 759, 739, 214, 496?

GCD of 759, 739, 214, 496 is 1

2. Where do I get the detailed procedure to find GCD of 759, 739, 214, 496?

You can find a detailed procedure to find GCD of 759, 739, 214, 496 on our page.

3. How to find GCD of 759, 739, 214, 496 on a calculator?

You can find the GCD of 759, 739, 214, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.