GCD of 144, 385, 84, 502 Calculator

Given Input numbers are 144, 385, 84, 502

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

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Greatest Common Divisior

We found the divisors of 144, 385, 84, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 385, 84, 502 is 1.

Therefore, GCD of numbers 144, 385, 84, 502 is 1

Given Input Data is 144, 385, 84, 502

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

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 502 is 2 x 251

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(144, 385) = 55440

GCD(144, 385) = ( 144 x 385 ) / 55440

GCD(144, 385) = 55440 / 55440

GCD(144, 385) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 502

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

LCM(1, 502) = 502

GCD(1, 502) = ( 1 x 502 ) / 502

GCD(1, 502) = 502 / 502

GCD(1, 502) = 1

GCD of 144, 385, 84, 502 is 1

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• GCD of 371, 747, 46, 770
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1. What is the GCD of 144, 385, 84, 502?

GCD of 144, 385, 84, 502 is 1

2. Where do I get the detailed procedure to find GCD of 144, 385, 84, 502?

You can find a detailed procedure to find GCD of 144, 385, 84, 502 on our page.

3. How to find GCD of 144, 385, 84, 502 on a calculator?

You can find the GCD of 144, 385, 84, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.