GCD of 991, 574, 40, 890 Calculator

Given Input numbers are 991, 574, 40, 890

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

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

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 991, 574, 40, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 574, 40, 890 is 1.

Therefore, GCD of numbers 991, 574, 40, 890 is 1

Given Input Data is 991, 574, 40, 890

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

Prime Factorization of 991 is 991

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 40 is 2 x 2 x 2 x 5

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(991, 574) = 568834

GCD(991, 574) = ( 991 x 574 ) / 568834

GCD(991, 574) = 568834 / 568834

GCD(991, 574) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 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 991, 574, 40, 890 is 1

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1. What is the GCD of 991, 574, 40, 890?

GCD of 991, 574, 40, 890 is 1

2. Where do I get the detailed procedure to find GCD of 991, 574, 40, 890?

You can find a detailed procedure to find GCD of 991, 574, 40, 890 on our page.

3. How to find GCD of 991, 574, 40, 890 on a calculator?

You can find the GCD of 991, 574, 40, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.