GCD of 830, 686, 32, 441 Calculator

Given Input numbers are 830, 686, 32, 441

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

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 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Greatest Common Divisior

We found the divisors of 830, 686, 32, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 830, 686, 32, 441 is 1.

Therefore, GCD of numbers 830, 686, 32, 441 is 1

Given Input Data is 830, 686, 32, 441

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

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 441 is 3 x 3 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(830, 686) = 284690

GCD(830, 686) = ( 830 x 686 ) / 284690

GCD(830, 686) = 569380 / 284690

GCD(830, 686) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 32

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

LCM(2, 32) = 32

GCD(2, 32) = ( 2 x 32 ) / 32

GCD(2, 32) = 64 / 32

GCD(2, 32) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 441

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

LCM(2, 441) = 882

GCD(2, 441) = ( 2 x 441 ) / 882

GCD(2, 441) = 882 / 882

GCD(2, 441) = 1

GCD of 830, 686, 32, 441 is 1

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1. What is the GCD of 830, 686, 32, 441?

GCD of 830, 686, 32, 441 is 1

2. Where do I get the detailed procedure to find GCD of 830, 686, 32, 441?

You can find a detailed procedure to find GCD of 830, 686, 32, 441 on our page.

3. How to find GCD of 830, 686, 32, 441 on a calculator?

You can find the GCD of 830, 686, 32, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.