GCD of 784, 830, 465 Calculator

Given Input numbers are 784, 830, 465

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 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Greatest Common Divisior

We found the divisors of 784, 830, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 830, 465 is 1.

Therefore, GCD of numbers 784, 830, 465 is 1

Given Input Data is 784, 830, 465

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 830 is 2 x 5 x 83

Prime Factorization of 465 is 3 x 5 x 31

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, 830) = 325360

GCD(784, 830) = ( 784 x 830 ) / 325360

GCD(784, 830) = 650720 / 325360

GCD(784, 830) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 465

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

LCM(2, 465) = 930

GCD(2, 465) = ( 2 x 465 ) / 930

GCD(2, 465) = 930 / 930

GCD(2, 465) = 1

GCD of 784, 830, 465 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 531, 243, 535
• GCD of 362, 829, 224
• GCD of 840, 121, 737
• GCD of 204, 606, 223
• GCD of 736, 854, 464

1. What is the GCD of 784, 830, 465?

GCD of 784, 830, 465 is 1

2. Where do I get the detailed procedure to find GCD of 784, 830, 465?

You can find a detailed procedure to find GCD of 784, 830, 465 on our page.

3. How to find GCD of 784, 830, 465 on a calculator?

You can find the GCD of 784, 830, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.