GCD of 98, 355, 100, 644 Calculator

Given Input numbers are 98, 355, 100, 644

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

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

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 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Greatest Common Divisior

We found the divisors of 98, 355, 100, 644 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 355, 100, 644 is 1.

Therefore, GCD of numbers 98, 355, 100, 644 is 1

Given Input Data is 98, 355, 100, 644

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

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 355 is 5 x 71

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

Prime Factorization of 644 is 2 x 2 x 7 x 23

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(98, 355) = 34790

GCD(98, 355) = ( 98 x 355 ) / 34790

GCD(98, 355) = 34790 / 34790

GCD(98, 355) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 644

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

LCM(1, 644) = 644

GCD(1, 644) = ( 1 x 644 ) / 644

GCD(1, 644) = 644 / 644

GCD(1, 644) = 1

GCD of 98, 355, 100, 644 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 87, 917, 718, 299
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• GCD of 29, 295, 523, 352
• GCD of 45, 712, 501, 365

1. What is the GCD of 98, 355, 100, 644?

GCD of 98, 355, 100, 644 is 1

2. Where do I get the detailed procedure to find GCD of 98, 355, 100, 644?

You can find a detailed procedure to find GCD of 98, 355, 100, 644 on our page.

3. How to find GCD of 98, 355, 100, 644 on a calculator?

You can find the GCD of 98, 355, 100, 644 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.