GCD of 987, 592, 569, 705 Calculator

Given Input numbers are 987, 592, 569, 705

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 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 569

List of positive integer divisors of 569 that divides 569 without a remainder.

1, 569

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 987, 592, 569, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 592, 569, 705 is 1.

Therefore, GCD of numbers 987, 592, 569, 705 is 1

Given Input Data is 987, 592, 569, 705

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 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 569 is 569

Prime Factorization of 705 is 3 x 5 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(987, 592) = 584304

GCD(987, 592) = ( 987 x 592 ) / 584304

GCD(987, 592) = 584304 / 584304

GCD(987, 592) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 569

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

LCM(1, 569) = 569

GCD(1, 569) = ( 1 x 569 ) / 569

GCD(1, 569) = 569 / 569

GCD(1, 569) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

GCD of 987, 592, 569, 705 is 1

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1. What is the GCD of 987, 592, 569, 705?

GCD of 987, 592, 569, 705 is 1

2. Where do I get the detailed procedure to find GCD of 987, 592, 569, 705?

You can find a detailed procedure to find GCD of 987, 592, 569, 705 on our page.

3. How to find GCD of 987, 592, 569, 705 on a calculator?

You can find the GCD of 987, 592, 569, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.