GCD of 250, 784, 221, 169 Calculator

Given Input numbers are 250, 784, 221, 169

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

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Greatest Common Divisior

We found the divisors of 250, 784, 221, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 250, 784, 221, 169 is 1.

Therefore, GCD of numbers 250, 784, 221, 169 is 1

Given Input Data is 250, 784, 221, 169

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

Prime Factorization of 250 is 2 x 5 x 5 x 5

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 221 is 13 x 17

Prime Factorization of 169 is 13 x 13

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(250, 784) = 98000

GCD(250, 784) = ( 250 x 784 ) / 98000

GCD(250, 784) = 196000 / 98000

GCD(250, 784) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 221

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

LCM(2, 221) = 442

GCD(2, 221) = ( 2 x 221 ) / 442

GCD(2, 221) = 442 / 442

GCD(2, 221) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 169

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

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

GCD(1, 169) = 169 / 169

GCD(1, 169) = 1

GCD of 250, 784, 221, 169 is 1

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1. What is the GCD of 250, 784, 221, 169?

GCD of 250, 784, 221, 169 is 1

2. Where do I get the detailed procedure to find GCD of 250, 784, 221, 169?

You can find a detailed procedure to find GCD of 250, 784, 221, 169 on our page.

3. How to find GCD of 250, 784, 221, 169 on a calculator?

You can find the GCD of 250, 784, 221, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.