GCD of 307, 149, 273, 518 Calculator

Given Input numbers are 307, 149, 273, 518

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

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Greatest Common Divisior

We found the divisors of 307, 149, 273, 518 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 149, 273, 518 is 1.

Therefore, GCD of numbers 307, 149, 273, 518 is 1

Given Input Data is 307, 149, 273, 518

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

Prime Factorization of 307 is 307

Prime Factorization of 149 is 149

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 518 is 2 x 7 x 37

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(307, 149) = 45743

GCD(307, 149) = ( 307 x 149 ) / 45743

GCD(307, 149) = 45743 / 45743

GCD(307, 149) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 273

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

LCM(1, 273) = 273

GCD(1, 273) = ( 1 x 273 ) / 273

GCD(1, 273) = 273 / 273

GCD(1, 273) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 518

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

LCM(1, 518) = 518

GCD(1, 518) = ( 1 x 518 ) / 518

GCD(1, 518) = 518 / 518

GCD(1, 518) = 1

GCD of 307, 149, 273, 518 is 1

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1. What is the GCD of 307, 149, 273, 518?

GCD of 307, 149, 273, 518 is 1

2. Where do I get the detailed procedure to find GCD of 307, 149, 273, 518?

You can find a detailed procedure to find GCD of 307, 149, 273, 518 on our page.

3. How to find GCD of 307, 149, 273, 518 on a calculator?

You can find the GCD of 307, 149, 273, 518 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.