GCD of 989, 788, 41, 540 Calculator

Given Input numbers are 989, 788, 41, 540

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

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Greatest Common Divisior

We found the divisors of 989, 788, 41, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 989, 788, 41, 540 is 1.

Therefore, GCD of numbers 989, 788, 41, 540 is 1

Given Input Data is 989, 788, 41, 540

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

Prime Factorization of 989 is 23 x 43

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 41 is 41

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

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(989, 788) = 779332

GCD(989, 788) = ( 989 x 788 ) / 779332

GCD(989, 788) = 779332 / 779332

GCD(989, 788) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 540

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

LCM(1, 540) = 540

GCD(1, 540) = ( 1 x 540 ) / 540

GCD(1, 540) = 540 / 540

GCD(1, 540) = 1

GCD of 989, 788, 41, 540 is 1

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1. What is the GCD of 989, 788, 41, 540?

GCD of 989, 788, 41, 540 is 1

2. Where do I get the detailed procedure to find GCD of 989, 788, 41, 540?

You can find a detailed procedure to find GCD of 989, 788, 41, 540 on our page.

3. How to find GCD of 989, 788, 41, 540 on a calculator?

You can find the GCD of 989, 788, 41, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.