GCD of 816, 461, 153, 406 Calculator

Given Input numbers are 816, 461, 153, 406

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

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Greatest Common Divisior

We found the divisors of 816, 461, 153, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 461, 153, 406 is 1.

Therefore, GCD of numbers 816, 461, 153, 406 is 1

Given Input Data is 816, 461, 153, 406

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

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 461 is 461

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 406 is 2 x 7 x 29

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(816, 461) = 376176

GCD(816, 461) = ( 816 x 461 ) / 376176

GCD(816, 461) = 376176 / 376176

GCD(816, 461) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 153

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

LCM(1, 153) = 153

GCD(1, 153) = ( 1 x 153 ) / 153

GCD(1, 153) = 153 / 153

GCD(1, 153) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 406

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

LCM(1, 406) = 406

GCD(1, 406) = ( 1 x 406 ) / 406

GCD(1, 406) = 406 / 406

GCD(1, 406) = 1

GCD of 816, 461, 153, 406 is 1

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• GCD of 670, 346, 952, 716
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1. What is the GCD of 816, 461, 153, 406?

GCD of 816, 461, 153, 406 is 1

2. Where do I get the detailed procedure to find GCD of 816, 461, 153, 406?

You can find a detailed procedure to find GCD of 816, 461, 153, 406 on our page.

3. How to find GCD of 816, 461, 153, 406 on a calculator?

You can find the GCD of 816, 461, 153, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.