GCD of 987, 408, 255, 148 Calculator

Given Input numbers are 987, 408, 255, 148

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 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 987, 408, 255, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 408, 255, 148 is 1.

Therefore, GCD of numbers 987, 408, 255, 148 is 1

Given Input Data is 987, 408, 255, 148

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 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 148 is 2 x 2 x 37

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, 408) = 134232

GCD(987, 408) = ( 987 x 408 ) / 134232

GCD(987, 408) = 402696 / 134232

GCD(987, 408) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 255

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

LCM(3, 255) = 255

GCD(3, 255) = ( 3 x 255 ) / 255

GCD(3, 255) = 765 / 255

GCD(3, 255) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 148

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

LCM(3, 148) = 444

GCD(3, 148) = ( 3 x 148 ) / 444

GCD(3, 148) = 444 / 444

GCD(3, 148) = 1

GCD of 987, 408, 255, 148 is 1

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• GCD of 913, 626, 340, 484
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1. What is the GCD of 987, 408, 255, 148?

GCD of 987, 408, 255, 148 is 1

2. Where do I get the detailed procedure to find GCD of 987, 408, 255, 148?

You can find a detailed procedure to find GCD of 987, 408, 255, 148 on our page.

3. How to find GCD of 987, 408, 255, 148 on a calculator?

You can find the GCD of 987, 408, 255, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.