GCD of 835, 414, 96, 648 Calculator

Given Input numbers are 835, 414, 96, 648

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

Divisors of 835

List of positive integer divisors of 835 that divides 835 without a remainder.

1, 5, 167, 835

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Greatest Common Divisior

We found the divisors of 835, 414, 96, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 835, 414, 96, 648 is 1.

Therefore, GCD of numbers 835, 414, 96, 648 is 1

Given Input Data is 835, 414, 96, 648

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

Prime Factorization of 835 is 5 x 167

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

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(835, 414) = 345690

GCD(835, 414) = ( 835 x 414 ) / 345690

GCD(835, 414) = 345690 / 345690

GCD(835, 414) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1

GCD of 835, 414, 96, 648 is 1

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1. What is the GCD of 835, 414, 96, 648?

GCD of 835, 414, 96, 648 is 1

2. Where do I get the detailed procedure to find GCD of 835, 414, 96, 648?

You can find a detailed procedure to find GCD of 835, 414, 96, 648 on our page.

3. How to find GCD of 835, 414, 96, 648 on a calculator?

You can find the GCD of 835, 414, 96, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.