GCD of 514, 738, 299, 769 Calculator

Given Input numbers are 514, 738, 299, 769

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

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Greatest Common Divisior

We found the divisors of 514, 738, 299, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 514, 738, 299, 769 is 1.

Therefore, GCD of numbers 514, 738, 299, 769 is 1

Given Input Data is 514, 738, 299, 769

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

Prime Factorization of 514 is 2 x 257

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 299 is 13 x 23

Prime Factorization of 769 is 769

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(514, 738) = 189666

GCD(514, 738) = ( 514 x 738 ) / 189666

GCD(514, 738) = 379332 / 189666

GCD(514, 738) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 299

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

LCM(2, 299) = 598

GCD(2, 299) = ( 2 x 299 ) / 598

GCD(2, 299) = 598 / 598

GCD(2, 299) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 769

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

LCM(1, 769) = 769

GCD(1, 769) = ( 1 x 769 ) / 769

GCD(1, 769) = 769 / 769

GCD(1, 769) = 1

GCD of 514, 738, 299, 769 is 1

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1. What is the GCD of 514, 738, 299, 769?

GCD of 514, 738, 299, 769 is 1

2. Where do I get the detailed procedure to find GCD of 514, 738, 299, 769?

You can find a detailed procedure to find GCD of 514, 738, 299, 769 on our page.

3. How to find GCD of 514, 738, 299, 769 on a calculator?

You can find the GCD of 514, 738, 299, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.