GCD of 100, 359, 28, 608 Calculator

Given Input numbers are 100, 359, 28, 608

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

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 100, 359, 28, 608 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 359, 28, 608 is 1.

Therefore, GCD of numbers 100, 359, 28, 608 is 1

Given Input Data is 100, 359, 28, 608

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 359 is 359

Prime Factorization of 28 is 2 x 2 x 7

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(100, 359) = 35900

GCD(100, 359) = ( 100 x 359 ) / 35900

GCD(100, 359) = 35900 / 35900

GCD(100, 359) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 28

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

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

GCD(1, 28) = 28 / 28

GCD(1, 28) = 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 100, 359, 28, 608 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 647, 780, 27, 222
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• GCD of 753, 145, 73, 149
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• GCD of 896, 505, 71, 290

1. What is the GCD of 100, 359, 28, 608?

GCD of 100, 359, 28, 608 is 1

2. Where do I get the detailed procedure to find GCD of 100, 359, 28, 608?

You can find a detailed procedure to find GCD of 100, 359, 28, 608 on our page.

3. How to find GCD of 100, 359, 28, 608 on a calculator?

You can find the GCD of 100, 359, 28, 608 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.