GCD of 47, 913, 949, 890 Calculator

Given Input numbers are 47, 913, 949, 890

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

Divisors of 47

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

1, 47

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 890

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

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

Greatest Common Divisior

We found the divisors of 47, 913, 949, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 913, 949, 890 is 1.

Therefore, GCD of numbers 47, 913, 949, 890 is 1

Given Input Data is 47, 913, 949, 890

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

Prime Factorization of 47 is 47

Prime Factorization of 913 is 11 x 83

Prime Factorization of 949 is 13 x 73

Prime Factorization of 890 is 2 x 5 x 89

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(47, 913) = 42911

GCD(47, 913) = ( 47 x 913 ) / 42911

GCD(47, 913) = 42911 / 42911

GCD(47, 913) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 949

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

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

GCD(1, 949) = 949 / 949

GCD(1, 949) = 1

Step3:

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

GCD of 47, 913, 949, 890 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 77, 378, 686, 539
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• GCD of 22, 524, 754, 104
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• GCD of 82, 107, 788, 336

1. What is the GCD of 47, 913, 949, 890?

GCD of 47, 913, 949, 890 is 1

2. Where do I get the detailed procedure to find GCD of 47, 913, 949, 890?

You can find a detailed procedure to find GCD of 47, 913, 949, 890 on our page.

3. How to find GCD of 47, 913, 949, 890 on a calculator?

You can find the GCD of 47, 913, 949, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.