GCD of 40, 295, 538, 987 Calculator

Given Input numbers are 40, 295, 538, 987

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

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 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Greatest Common Divisior

We found the divisors of 40, 295, 538, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 295, 538, 987 is 1.

Therefore, GCD of numbers 40, 295, 538, 987 is 1

Given Input Data is 40, 295, 538, 987

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

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

Prime Factorization of 295 is 5 x 59

Prime Factorization of 538 is 2 x 269

Prime Factorization of 987 is 3 x 7 x 47

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(40, 295) = 2360

GCD(40, 295) = ( 40 x 295 ) / 2360

GCD(40, 295) = 11800 / 2360

GCD(40, 295) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 538

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

LCM(5, 538) = 2690

GCD(5, 538) = ( 5 x 538 ) / 2690

GCD(5, 538) = 2690 / 2690

GCD(5, 538) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 987

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

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

GCD(1, 987) = 987 / 987

GCD(1, 987) = 1

GCD of 40, 295, 538, 987 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 10, 907, 512, 699
• GCD of 16, 341, 631, 459
• GCD of 16, 849, 395, 152
• GCD of 82, 623, 555, 484
• GCD of 60, 627, 513, 753

1. What is the GCD of 40, 295, 538, 987?

GCD of 40, 295, 538, 987 is 1

2. Where do I get the detailed procedure to find GCD of 40, 295, 538, 987?

You can find a detailed procedure to find GCD of 40, 295, 538, 987 on our page.

3. How to find GCD of 40, 295, 538, 987 on a calculator?

You can find the GCD of 40, 295, 538, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.