GCD of 149, 338, 73, 513 Calculator

Given Input numbers are 149, 338, 73, 513

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

Divisors of 149

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

1, 149

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Greatest Common Divisior

We found the divisors of 149, 338, 73, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 338, 73, 513 is 1.

Therefore, GCD of numbers 149, 338, 73, 513 is 1

Given Input Data is 149, 338, 73, 513

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

Prime Factorization of 149 is 149

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 73 is 73

Prime Factorization of 513 is 3 x 3 x 3 x 19

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(149, 338) = 50362

GCD(149, 338) = ( 149 x 338 ) / 50362

GCD(149, 338) = 50362 / 50362

GCD(149, 338) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 73

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

LCM(1, 73) = 73

GCD(1, 73) = ( 1 x 73 ) / 73

GCD(1, 73) = 73 / 73

GCD(1, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 513

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

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

GCD(1, 513) = 513 / 513

GCD(1, 513) = 1

GCD of 149, 338, 73, 513 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 516, 647, 47, 448
• GCD of 499, 285, 19, 302
• GCD of 934, 785, 67, 693
• GCD of 317, 872, 74, 363
• GCD of 271, 222, 54, 735

1. What is the GCD of 149, 338, 73, 513?

GCD of 149, 338, 73, 513 is 1

2. Where do I get the detailed procedure to find GCD of 149, 338, 73, 513?

You can find a detailed procedure to find GCD of 149, 338, 73, 513 on our page.

3. How to find GCD of 149, 338, 73, 513 on a calculator?

You can find the GCD of 149, 338, 73, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.