GCD of 46, 413, 890, 355 Calculator

Given Input numbers are 46, 413, 890, 355

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

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 355

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

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 46, 413, 890, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 413, 890, 355 is 1.

Therefore, GCD of numbers 46, 413, 890, 355 is 1

Given Input Data is 46, 413, 890, 355

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 413 is 7 x 59

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 355 is 5 x 71

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(46, 413) = 18998

GCD(46, 413) = ( 46 x 413 ) / 18998

GCD(46, 413) = 18998 / 18998

GCD(46, 413) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 890

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

LCM(1, 890) = 890

GCD(1, 890) = ( 1 x 890 ) / 890

GCD(1, 890) = 890 / 890

GCD(1, 890) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 1

GCD of 46, 413, 890, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 28, 786, 192, 119
• GCD of 51, 121, 918, 576
• GCD of 69, 583, 151, 803
• GCD of 89, 286, 142, 641
• GCD of 94, 316, 506, 246

1. What is the GCD of 46, 413, 890, 355?

GCD of 46, 413, 890, 355 is 1

2. Where do I get the detailed procedure to find GCD of 46, 413, 890, 355?

You can find a detailed procedure to find GCD of 46, 413, 890, 355 on our page.

3. How to find GCD of 46, 413, 890, 355 on a calculator?

You can find the GCD of 46, 413, 890, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.