GCD of 367, 802, 498, 437 Calculator

Given Input numbers are 367, 802, 498, 437

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

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 437

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

1, 19, 23, 437

Greatest Common Divisior

We found the divisors of 367, 802, 498, 437 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 367, 802, 498, 437 is 1.

Therefore, GCD of numbers 367, 802, 498, 437 is 1

Given Input Data is 367, 802, 498, 437

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

Prime Factorization of 367 is 367

Prime Factorization of 802 is 2 x 401

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 437 is 19 x 23

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(367, 802) = 294334

GCD(367, 802) = ( 367 x 802 ) / 294334

GCD(367, 802) = 294334 / 294334

GCD(367, 802) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 498

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

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

GCD(1, 498) = 498 / 498

GCD(1, 498) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 437

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

LCM(1, 437) = 437

GCD(1, 437) = ( 1 x 437 ) / 437

GCD(1, 437) = 437 / 437

GCD(1, 437) = 1

GCD of 367, 802, 498, 437 is 1

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1. What is the GCD of 367, 802, 498, 437?

GCD of 367, 802, 498, 437 is 1

2. Where do I get the detailed procedure to find GCD of 367, 802, 498, 437?

You can find a detailed procedure to find GCD of 367, 802, 498, 437 on our page.

3. How to find GCD of 367, 802, 498, 437 on a calculator?

You can find the GCD of 367, 802, 498, 437 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.