GCD of 214, 715, 384, 137 Calculator

Given Input numbers are 214, 715, 384, 137

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 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Greatest Common Divisior

We found the divisors of 214, 715, 384, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 715, 384, 137 is 1.

Therefore, GCD of numbers 214, 715, 384, 137 is 1

Given Input Data is 214, 715, 384, 137

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 137 is 137

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, 715) = 153010

GCD(214, 715) = ( 214 x 715 ) / 153010

GCD(214, 715) = 153010 / 153010

GCD(214, 715) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 384

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

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

GCD(1, 384) = 384 / 384

GCD(1, 384) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 137

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

LCM(1, 137) = 137

GCD(1, 137) = ( 1 x 137 ) / 137

GCD(1, 137) = 137 / 137

GCD(1, 137) = 1

GCD of 214, 715, 384, 137 is 1

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1. What is the GCD of 214, 715, 384, 137?

GCD of 214, 715, 384, 137 is 1

2. Where do I get the detailed procedure to find GCD of 214, 715, 384, 137?

You can find a detailed procedure to find GCD of 214, 715, 384, 137 on our page.

3. How to find GCD of 214, 715, 384, 137 on a calculator?

You can find the GCD of 214, 715, 384, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.