GCD of 355, 414, 106, 641 Calculator

Given Input numbers are 355, 414, 106, 641

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

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

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 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 641

List of positive integer divisors of 641 that divides 641 without a remainder.

1, 641

Greatest Common Divisior

We found the divisors of 355, 414, 106, 641 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 414, 106, 641 is 1.

Therefore, GCD of numbers 355, 414, 106, 641 is 1

Given Input Data is 355, 414, 106, 641

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

Prime Factorization of 355 is 5 x 71

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 641 is 641

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(355, 414) = 146970

GCD(355, 414) = ( 355 x 414 ) / 146970

GCD(355, 414) = 146970 / 146970

GCD(355, 414) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 641

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

LCM(1, 641) = 641

GCD(1, 641) = ( 1 x 641 ) / 641

GCD(1, 641) = 641 / 641

GCD(1, 641) = 1

GCD of 355, 414, 106, 641 is 1

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1. What is the GCD of 355, 414, 106, 641?

GCD of 355, 414, 106, 641 is 1

2. Where do I get the detailed procedure to find GCD of 355, 414, 106, 641?

You can find a detailed procedure to find GCD of 355, 414, 106, 641 on our page.

3. How to find GCD of 355, 414, 106, 641 on a calculator?

You can find the GCD of 355, 414, 106, 641 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.