GCD of 117, 282, 214 Calculator

Given Input numbers are 117, 282, 214

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

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 214

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

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 117, 282, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 282, 214 is 1.

Therefore, GCD of numbers 117, 282, 214 is 1

Given Input Data is 117, 282, 214

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

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 214 is 2 x 107

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(117, 282) = 10998

GCD(117, 282) = ( 117 x 282 ) / 10998

GCD(117, 282) = 32994 / 10998

GCD(117, 282) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 214

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

LCM(3, 214) = 642

GCD(3, 214) = ( 3 x 214 ) / 642

GCD(3, 214) = 642 / 642

GCD(3, 214) = 1

GCD of 117, 282, 214 is 1

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• GCD of 355, 868, 735
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1. What is the GCD of 117, 282, 214?

GCD of 117, 282, 214 is 1

2. Where do I get the detailed procedure to find GCD of 117, 282, 214?

You can find a detailed procedure to find GCD of 117, 282, 214 on our page.

3. How to find GCD of 117, 282, 214 on a calculator?

You can find the GCD of 117, 282, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.