GCD of 987, 757, 559, 413 Calculator

Given Input numbers are 987, 757, 559, 413

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

Divisors of 987

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

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

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Greatest Common Divisior

We found the divisors of 987, 757, 559, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 757, 559, 413 is 1.

Therefore, GCD of numbers 987, 757, 559, 413 is 1

Given Input Data is 987, 757, 559, 413

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

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 757 is 757

Prime Factorization of 559 is 13 x 43

Prime Factorization of 413 is 7 x 59

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(987, 757) = 747159

GCD(987, 757) = ( 987 x 757 ) / 747159

GCD(987, 757) = 747159 / 747159

GCD(987, 757) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 559

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

LCM(1, 559) = 559

GCD(1, 559) = ( 1 x 559 ) / 559

GCD(1, 559) = 559 / 559

GCD(1, 559) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 413

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

LCM(1, 413) = 413

GCD(1, 413) = ( 1 x 413 ) / 413

GCD(1, 413) = 413 / 413

GCD(1, 413) = 1

GCD of 987, 757, 559, 413 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 606, 481, 353, 784
• GCD of 626, 122, 958, 367
• GCD of 717, 778, 604, 226
• GCD of 759, 231, 105, 701
• GCD of 256, 598, 978, 562

1. What is the GCD of 987, 757, 559, 413?

GCD of 987, 757, 559, 413 is 1

2. Where do I get the detailed procedure to find GCD of 987, 757, 559, 413?

You can find a detailed procedure to find GCD of 987, 757, 559, 413 on our page.

3. How to find GCD of 987, 757, 559, 413 on a calculator?

You can find the GCD of 987, 757, 559, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.