GCD of 401, 862, 704, 849 Calculator

Given Input numbers are 401, 862, 704, 849

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

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 401, 862, 704, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 401, 862, 704, 849 is 1.

Therefore, GCD of numbers 401, 862, 704, 849 is 1

Given Input Data is 401, 862, 704, 849

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

Prime Factorization of 401 is 401

Prime Factorization of 862 is 2 x 431

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 849 is 3 x 283

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(401, 862) = 345662

GCD(401, 862) = ( 401 x 862 ) / 345662

GCD(401, 862) = 345662 / 345662

GCD(401, 862) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 849

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

LCM(1, 849) = 849

GCD(1, 849) = ( 1 x 849 ) / 849

GCD(1, 849) = 849 / 849

GCD(1, 849) = 1

GCD of 401, 862, 704, 849 is 1

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1. What is the GCD of 401, 862, 704, 849?

GCD of 401, 862, 704, 849 is 1

2. Where do I get the detailed procedure to find GCD of 401, 862, 704, 849?

You can find a detailed procedure to find GCD of 401, 862, 704, 849 on our page.

3. How to find GCD of 401, 862, 704, 849 on a calculator?

You can find the GCD of 401, 862, 704, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.