GCD of 814, 124, 285, 288 Calculator

Given Input numbers are 814, 124, 285, 288

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Greatest Common Divisior

We found the divisors of 814, 124, 285, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 124, 285, 288 is 1.

Therefore, GCD of numbers 814, 124, 285, 288 is 1

Given Input Data is 814, 124, 285, 288

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 124 is 2 x 2 x 31

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

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(814, 124) = 50468

GCD(814, 124) = ( 814 x 124 ) / 50468

GCD(814, 124) = 100936 / 50468

GCD(814, 124) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 285

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

LCM(2, 285) = 570

GCD(2, 285) = ( 2 x 285 ) / 570

GCD(2, 285) = 570 / 570

GCD(2, 285) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 288

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

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

GCD(1, 288) = 288 / 288

GCD(1, 288) = 1

GCD of 814, 124, 285, 288 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 277, 933, 670, 379
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• GCD of 280, 324, 299, 686
• GCD of 135, 559, 399, 383
• GCD of 321, 249, 246, 717

1. What is the GCD of 814, 124, 285, 288?

GCD of 814, 124, 285, 288 is 1

2. Where do I get the detailed procedure to find GCD of 814, 124, 285, 288?

You can find a detailed procedure to find GCD of 814, 124, 285, 288 on our page.

3. How to find GCD of 814, 124, 285, 288 on a calculator?

You can find the GCD of 814, 124, 285, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.