GCD of 98, 72, 25, 17 Calculator

Given Input numbers are 98, 72, 25, 17

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 72

List of positive integer divisors of 72 that divides 72 without a remainder.

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

Divisors of 25

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

1, 5, 25

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Greatest Common Divisior

We found the divisors of 98, 72, 25, 17 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 72, 25, 17 is 1.

Therefore, GCD of numbers 98, 72, 25, 17 is 1

Given Input Data is 98, 72, 25, 17

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 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 25 is 5 x 5

Prime Factorization of 17 is 17

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, 72) = 3528

GCD(98, 72) = ( 98 x 72 ) / 3528

GCD(98, 72) = 7056 / 3528

GCD(98, 72) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 25

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

LCM(2, 25) = 50

GCD(2, 25) = ( 2 x 25 ) / 50

GCD(2, 25) = 50 / 50

GCD(2, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

GCD of 98, 72, 25, 17 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 41, 82, 87, 61
• GCD of 36, 68, 54, 81
• GCD of 13, 58, 68, 97
• GCD of 90, 97, 66, 88
• GCD of 41, 42, 39, 30

1. What is the GCD of 98, 72, 25, 17?

GCD of 98, 72, 25, 17 is 1

2. Where do I get the detailed procedure to find GCD of 98, 72, 25, 17?

You can find a detailed procedure to find GCD of 98, 72, 25, 17 on our page.

3. How to find GCD of 98, 72, 25, 17 on a calculator?

You can find the GCD of 98, 72, 25, 17 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.