GCD of 289, 371, 857, 216 Calculator

Given Input numbers are 289, 371, 857, 216

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

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Greatest Common Divisior

We found the divisors of 289, 371, 857, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 371, 857, 216 is 1.

Therefore, GCD of numbers 289, 371, 857, 216 is 1

Given Input Data is 289, 371, 857, 216

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 371 is 7 x 53

Prime Factorization of 857 is 857

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

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(289, 371) = 107219

GCD(289, 371) = ( 289 x 371 ) / 107219

GCD(289, 371) = 107219 / 107219

GCD(289, 371) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 857

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

LCM(1, 857) = 857

GCD(1, 857) = ( 1 x 857 ) / 857

GCD(1, 857) = 857 / 857

GCD(1, 857) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

GCD(1, 216) = 216 / 216

GCD(1, 216) = 1

GCD of 289, 371, 857, 216 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 608, 997, 285, 699
• GCD of 985, 326, 993, 222
• GCD of 288, 692, 289, 672
• GCD of 957, 820, 575, 881
• GCD of 572, 531, 234, 995

1. What is the GCD of 289, 371, 857, 216?

GCD of 289, 371, 857, 216 is 1

2. Where do I get the detailed procedure to find GCD of 289, 371, 857, 216?

You can find a detailed procedure to find GCD of 289, 371, 857, 216 on our page.

3. How to find GCD of 289, 371, 857, 216 on a calculator?

You can find the GCD of 289, 371, 857, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.