GCD of 437, 360, 334, 514 Calculator

Given Input numbers are 437, 360, 334, 514

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

Divisors of 437

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

1, 19, 23, 437

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 437, 360, 334, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 437, 360, 334, 514 is 1.

Therefore, GCD of numbers 437, 360, 334, 514 is 1

Given Input Data is 437, 360, 334, 514

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

Prime Factorization of 437 is 19 x 23

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 334 is 2 x 167

Prime Factorization of 514 is 2 x 257

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(437, 360) = 157320

GCD(437, 360) = ( 437 x 360 ) / 157320

GCD(437, 360) = 157320 / 157320

GCD(437, 360) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 334

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

LCM(1, 334) = 334

GCD(1, 334) = ( 1 x 334 ) / 334

GCD(1, 334) = 334 / 334

GCD(1, 334) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 514

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

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

GCD(1, 514) = 514 / 514

GCD(1, 514) = 1

GCD of 437, 360, 334, 514 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 811, 620, 955, 569
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1. What is the GCD of 437, 360, 334, 514?

GCD of 437, 360, 334, 514 is 1

2. Where do I get the detailed procedure to find GCD of 437, 360, 334, 514?

You can find a detailed procedure to find GCD of 437, 360, 334, 514 on our page.

3. How to find GCD of 437, 360, 334, 514 on a calculator?

You can find the GCD of 437, 360, 334, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.