GCD of 513, 312, 437, 160 Calculator

Given Input numbers are 513, 312, 437, 160

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

Divisors of 513

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

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Greatest Common Divisior

We found the divisors of 513, 312, 437, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 312, 437, 160 is 1.

Therefore, GCD of numbers 513, 312, 437, 160 is 1

Given Input Data is 513, 312, 437, 160

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

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 437 is 19 x 23

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

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(513, 312) = 53352

GCD(513, 312) = ( 513 x 312 ) / 53352

GCD(513, 312) = 160056 / 53352

GCD(513, 312) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 437

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

LCM(3, 437) = 1311

GCD(3, 437) = ( 3 x 437 ) / 1311

GCD(3, 437) = 1311 / 1311

GCD(3, 437) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 160

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

LCM(1, 160) = 160

GCD(1, 160) = ( 1 x 160 ) / 160

GCD(1, 160) = 160 / 160

GCD(1, 160) = 1

GCD of 513, 312, 437, 160 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 158, 825, 876, 674
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• GCD of 540, 766, 161, 508

1. What is the GCD of 513, 312, 437, 160?

GCD of 513, 312, 437, 160 is 1

2. Where do I get the detailed procedure to find GCD of 513, 312, 437, 160?

You can find a detailed procedure to find GCD of 513, 312, 437, 160 on our page.

3. How to find GCD of 513, 312, 437, 160 on a calculator?

You can find the GCD of 513, 312, 437, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.