GCD of 353, 837, 47, 101 Calculator

Given Input numbers are 353, 837, 47, 101

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

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 837

List of positive integer divisors of 837 that divides 837 without a remainder.

1, 3, 9, 27, 31, 93, 279, 837

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Greatest Common Divisior

We found the divisors of 353, 837, 47, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 837, 47, 101 is 1.

Therefore, GCD of numbers 353, 837, 47, 101 is 1

Given Input Data is 353, 837, 47, 101

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

Prime Factorization of 353 is 353

Prime Factorization of 837 is 3 x 3 x 3 x 31

Prime Factorization of 47 is 47

Prime Factorization of 101 is 101

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(353, 837) = 295461

GCD(353, 837) = ( 353 x 837 ) / 295461

GCD(353, 837) = 295461 / 295461

GCD(353, 837) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 101

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

LCM(1, 101) = 101

GCD(1, 101) = ( 1 x 101 ) / 101

GCD(1, 101) = 101 / 101

GCD(1, 101) = 1

GCD of 353, 837, 47, 101 is 1

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1. What is the GCD of 353, 837, 47, 101?

GCD of 353, 837, 47, 101 is 1

2. Where do I get the detailed procedure to find GCD of 353, 837, 47, 101?

You can find a detailed procedure to find GCD of 353, 837, 47, 101 on our page.

3. How to find GCD of 353, 837, 47, 101 on a calculator?

You can find the GCD of 353, 837, 47, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.