GCD of 784, 305, 21, 102 Calculator

Given Input numbers are 784, 305, 21, 102

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 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Greatest Common Divisior

We found the divisors of 784, 305, 21, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 305, 21, 102 is 1.

Therefore, GCD of numbers 784, 305, 21, 102 is 1

Given Input Data is 784, 305, 21, 102

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 305 is 5 x 61

Prime Factorization of 21 is 3 x 7

Prime Factorization of 102 is 2 x 3 x 17

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, 305) = 239120

GCD(784, 305) = ( 784 x 305 ) / 239120

GCD(784, 305) = 239120 / 239120

GCD(784, 305) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 102

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

LCM(1, 102) = 102

GCD(1, 102) = ( 1 x 102 ) / 102

GCD(1, 102) = 102 / 102

GCD(1, 102) = 1

GCD of 784, 305, 21, 102 is 1

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• GCD of 202, 559, 21, 705
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1. What is the GCD of 784, 305, 21, 102?

GCD of 784, 305, 21, 102 is 1

2. Where do I get the detailed procedure to find GCD of 784, 305, 21, 102?

You can find a detailed procedure to find GCD of 784, 305, 21, 102 on our page.

3. How to find GCD of 784, 305, 21, 102 on a calculator?

You can find the GCD of 784, 305, 21, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.