GCD of 288, 214, 747, 850 Calculator

Given Input numbers are 288, 214, 747, 850

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

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

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Greatest Common Divisior

We found the divisors of 288, 214, 747, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 214, 747, 850 is 1.

Therefore, GCD of numbers 288, 214, 747, 850 is 1

Given Input Data is 288, 214, 747, 850

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

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 850 is 2 x 5 x 5 x 17

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(288, 214) = 30816

GCD(288, 214) = ( 288 x 214 ) / 30816

GCD(288, 214) = 61632 / 30816

GCD(288, 214) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 747

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

LCM(2, 747) = 1494

GCD(2, 747) = ( 2 x 747 ) / 1494

GCD(2, 747) = 1494 / 1494

GCD(2, 747) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 850

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

LCM(1, 850) = 850

GCD(1, 850) = ( 1 x 850 ) / 850

GCD(1, 850) = 850 / 850

GCD(1, 850) = 1

GCD of 288, 214, 747, 850 is 1

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1. What is the GCD of 288, 214, 747, 850?

GCD of 288, 214, 747, 850 is 1

2. Where do I get the detailed procedure to find GCD of 288, 214, 747, 850?

You can find a detailed procedure to find GCD of 288, 214, 747, 850 on our page.

3. How to find GCD of 288, 214, 747, 850 on a calculator?

You can find the GCD of 288, 214, 747, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.