GCD of 514, 749, 55, 738 Calculator

Given Input numbers are 514, 749, 55, 738

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 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

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

Greatest Common Divisior

We found the divisors of 514, 749, 55, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 514, 749, 55, 738 is 1.

Therefore, GCD of numbers 514, 749, 55, 738 is 1

Given Input Data is 514, 749, 55, 738

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

Prime Factorization of 514 is 2 x 257

Prime Factorization of 749 is 7 x 107

Prime Factorization of 55 is 5 x 11

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

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, 749) = 384986

GCD(514, 749) = ( 514 x 749 ) / 384986

GCD(514, 749) = 384986 / 384986

GCD(514, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 55

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

LCM(1, 55) = 55

GCD(1, 55) = ( 1 x 55 ) / 55

GCD(1, 55) = 55 / 55

GCD(1, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

GCD of 514, 749, 55, 738 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 939, 619, 49, 475
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• GCD of 374, 125, 81, 765

1. What is the GCD of 514, 749, 55, 738?

GCD of 514, 749, 55, 738 is 1

2. Where do I get the detailed procedure to find GCD of 514, 749, 55, 738?

You can find a detailed procedure to find GCD of 514, 749, 55, 738 on our page.

3. How to find GCD of 514, 749, 55, 738 on a calculator?

You can find the GCD of 514, 749, 55, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.