GCD of 987, 652, 25, 164 Calculator

Given Input numbers are 987, 652, 25, 164

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 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 987, 652, 25, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 652, 25, 164 is 1.

Therefore, GCD of numbers 987, 652, 25, 164 is 1

Given Input Data is 987, 652, 25, 164

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 652 is 2 x 2 x 163

Prime Factorization of 25 is 5 x 5

Prime Factorization of 164 is 2 x 2 x 41

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, 652) = 643524

GCD(987, 652) = ( 987 x 652 ) / 643524

GCD(987, 652) = 643524 / 643524

GCD(987, 652) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

GCD of 987, 652, 25, 164 is 1

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• GCD of 834, 367, 61, 355
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1. What is the GCD of 987, 652, 25, 164?

GCD of 987, 652, 25, 164 is 1

2. Where do I get the detailed procedure to find GCD of 987, 652, 25, 164?

You can find a detailed procedure to find GCD of 987, 652, 25, 164 on our page.

3. How to find GCD of 987, 652, 25, 164 on a calculator?

You can find the GCD of 987, 652, 25, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.