GCD of 784, 221, 735 Calculator

Given Input numbers are 784, 221, 735

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

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 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Greatest Common Divisior

We found the divisors of 784, 221, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 221, 735 is 1.

Therefore, GCD of numbers 784, 221, 735 is 1

Given Input Data is 784, 221, 735

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

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 735 is 3 x 5 x 7 x 7

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(784, 221) = 173264

GCD(784, 221) = ( 784 x 221 ) / 173264

GCD(784, 221) = 173264 / 173264

GCD(784, 221) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 735

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

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

GCD(1, 735) = 735 / 735

GCD(1, 735) = 1

GCD of 784, 221, 735 is 1

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1. What is the GCD of 784, 221, 735?

GCD of 784, 221, 735 is 1

2. Where do I get the detailed procedure to find GCD of 784, 221, 735?

You can find a detailed procedure to find GCD of 784, 221, 735 on our page.

3. How to find GCD of 784, 221, 735 on a calculator?

You can find the GCD of 784, 221, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.