GCD of 214, 292, 15, 565 Calculator

Given Input numbers are 214, 292, 15, 565

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 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Greatest Common Divisior

We found the divisors of 214, 292, 15, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 292, 15, 565 is 1.

Therefore, GCD of numbers 214, 292, 15, 565 is 1

Given Input Data is 214, 292, 15, 565

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 15 is 3 x 5

Prime Factorization of 565 is 5 x 113

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, 292) = 31244

GCD(214, 292) = ( 214 x 292 ) / 31244

GCD(214, 292) = 62488 / 31244

GCD(214, 292) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 15

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

LCM(2, 15) = 30

GCD(2, 15) = ( 2 x 15 ) / 30

GCD(2, 15) = 30 / 30

GCD(2, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 565

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

LCM(1, 565) = 565

GCD(1, 565) = ( 1 x 565 ) / 565

GCD(1, 565) = 565 / 565

GCD(1, 565) = 1

GCD of 214, 292, 15, 565 is 1

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1. What is the GCD of 214, 292, 15, 565?

GCD of 214, 292, 15, 565 is 1

2. Where do I get the detailed procedure to find GCD of 214, 292, 15, 565?

You can find a detailed procedure to find GCD of 214, 292, 15, 565 on our page.

3. How to find GCD of 214, 292, 15, 565 on a calculator?

You can find the GCD of 214, 292, 15, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.