GCD of 214, 647, 83, 888 Calculator

Given Input numbers are 214, 647, 83, 888

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

Divisors of 214

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

1, 2, 107, 214

Divisors of 647

List of positive integer divisors of 647 that divides 647 without a remainder.

1, 647

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Greatest Common Divisior

We found the divisors of 214, 647, 83, 888 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 647, 83, 888 is 1.

Therefore, GCD of numbers 214, 647, 83, 888 is 1

Given Input Data is 214, 647, 83, 888

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 647 is 647

Prime Factorization of 83 is 83

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

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(214, 647) = 138458

GCD(214, 647) = ( 214 x 647 ) / 138458

GCD(214, 647) = 138458 / 138458

GCD(214, 647) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 888

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

LCM(1, 888) = 888

GCD(1, 888) = ( 1 x 888 ) / 888

GCD(1, 888) = 888 / 888

GCD(1, 888) = 1

GCD of 214, 647, 83, 888 is 1

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• GCD of 588, 933, 42, 379
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1. What is the GCD of 214, 647, 83, 888?

GCD of 214, 647, 83, 888 is 1

2. Where do I get the detailed procedure to find GCD of 214, 647, 83, 888?

You can find a detailed procedure to find GCD of 214, 647, 83, 888 on our page.

3. How to find GCD of 214, 647, 83, 888 on a calculator?

You can find the GCD of 214, 647, 83, 888 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.