GCD of 515, 981, 49, 738 Calculator

Given Input numbers are 515, 981, 49, 738

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

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

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 515, 981, 49, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 515, 981, 49, 738 is 1.

Therefore, GCD of numbers 515, 981, 49, 738 is 1

Given Input Data is 515, 981, 49, 738

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

Prime Factorization of 515 is 5 x 103

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 49 is 7 x 7

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(515, 981) = 505215

GCD(515, 981) = ( 515 x 981 ) / 505215

GCD(515, 981) = 505215 / 505215

GCD(515, 981) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 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 515, 981, 49, 738 is 1

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1. What is the GCD of 515, 981, 49, 738?

GCD of 515, 981, 49, 738 is 1

2. Where do I get the detailed procedure to find GCD of 515, 981, 49, 738?

You can find a detailed procedure to find GCD of 515, 981, 49, 738 on our page.

3. How to find GCD of 515, 981, 49, 738 on a calculator?

You can find the GCD of 515, 981, 49, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.