GCD of 87, 445, 144, 608 Calculator

Given Input numbers are 87, 445, 144, 608

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

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Greatest Common Divisior

We found the divisors of 87, 445, 144, 608 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 445, 144, 608 is 1.

Therefore, GCD of numbers 87, 445, 144, 608 is 1

Given Input Data is 87, 445, 144, 608

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 445 is 5 x 89

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

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(87, 445) = 38715

GCD(87, 445) = ( 87 x 445 ) / 38715

GCD(87, 445) = 38715 / 38715

GCD(87, 445) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 608

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

LCM(1, 608) = 608

GCD(1, 608) = ( 1 x 608 ) / 608

GCD(1, 608) = 608 / 608

GCD(1, 608) = 1

GCD of 87, 445, 144, 608 is 1

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• GCD of 43, 798, 678, 174
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1. What is the GCD of 87, 445, 144, 608?

GCD of 87, 445, 144, 608 is 1

2. Where do I get the detailed procedure to find GCD of 87, 445, 144, 608?

You can find a detailed procedure to find GCD of 87, 445, 144, 608 on our page.

3. How to find GCD of 87, 445, 144, 608 on a calculator?

You can find the GCD of 87, 445, 144, 608 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.