GCD of 342, 649, 41, 476 Calculator

Given Input numbers are 342, 649, 41, 476

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Greatest Common Divisior

We found the divisors of 342, 649, 41, 476 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 649, 41, 476 is 1.

Therefore, GCD of numbers 342, 649, 41, 476 is 1

Given Input Data is 342, 649, 41, 476

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 649 is 11 x 59

Prime Factorization of 41 is 41

Prime Factorization of 476 is 2 x 2 x 7 x 17

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(342, 649) = 221958

GCD(342, 649) = ( 342 x 649 ) / 221958

GCD(342, 649) = 221958 / 221958

GCD(342, 649) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 476

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

LCM(1, 476) = 476

GCD(1, 476) = ( 1 x 476 ) / 476

GCD(1, 476) = 476 / 476

GCD(1, 476) = 1

GCD of 342, 649, 41, 476 is 1

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• GCD of 278, 337, 53, 903
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• GCD of 621, 415, 72, 295

1. What is the GCD of 342, 649, 41, 476?

GCD of 342, 649, 41, 476 is 1

2. Where do I get the detailed procedure to find GCD of 342, 649, 41, 476?

You can find a detailed procedure to find GCD of 342, 649, 41, 476 on our page.

3. How to find GCD of 342, 649, 41, 476 on a calculator?

You can find the GCD of 342, 649, 41, 476 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.