GCD of 402, 849, 899, 341 Calculator

Given Input numbers are 402, 849, 899, 341

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

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 849

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

1, 3, 283, 849

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Greatest Common Divisior

We found the divisors of 402, 849, 899, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 849, 899, 341 is 1.

Therefore, GCD of numbers 402, 849, 899, 341 is 1

Given Input Data is 402, 849, 899, 341

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

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 849 is 3 x 283

Prime Factorization of 899 is 29 x 31

Prime Factorization of 341 is 11 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(402, 849) = 113766

GCD(402, 849) = ( 402 x 849 ) / 113766

GCD(402, 849) = 341298 / 113766

GCD(402, 849) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 899

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

LCM(3, 899) = 2697

GCD(3, 899) = ( 3 x 899 ) / 2697

GCD(3, 899) = 2697 / 2697

GCD(3, 899) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 341

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

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

GCD(1, 341) = 341 / 341

GCD(1, 341) = 1

GCD of 402, 849, 899, 341 is 1

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1. What is the GCD of 402, 849, 899, 341?

GCD of 402, 849, 899, 341 is 1

2. Where do I get the detailed procedure to find GCD of 402, 849, 899, 341?

You can find a detailed procedure to find GCD of 402, 849, 899, 341 on our page.

3. How to find GCD of 402, 849, 899, 341 on a calculator?

You can find the GCD of 402, 849, 899, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.