GCD of 98, 18, 22, 75 Calculator

Given Input numbers are 98, 18, 22, 75

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 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Greatest Common Divisior

We found the divisors of 98, 18, 22, 75 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 18, 22, 75 is 1.

Therefore, GCD of numbers 98, 18, 22, 75 is 1

Given Input Data is 98, 18, 22, 75

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 18 is 2 x 3 x 3

Prime Factorization of 22 is 2 x 11

Prime Factorization of 75 is 3 x 5 x 5

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, 18) = 882

GCD(98, 18) = ( 98 x 18 ) / 882

GCD(98, 18) = 1764 / 882

GCD(98, 18) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 22

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

LCM(2, 22) = 22

GCD(2, 22) = ( 2 x 22 ) / 22

GCD(2, 22) = 44 / 22

GCD(2, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 75

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

LCM(2, 75) = 150

GCD(2, 75) = ( 2 x 75 ) / 150

GCD(2, 75) = 150 / 150

GCD(2, 75) = 1

GCD of 98, 18, 22, 75 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 70, 89, 32, 68
• GCD of 34, 94, 12, 33
• GCD of 86, 55, 72, 13
• GCD of 67, 34, 39, 50
• GCD of 72, 85, 91, 43

1. What is the GCD of 98, 18, 22, 75?

GCD of 98, 18, 22, 75 is 1

2. Where do I get the detailed procedure to find GCD of 98, 18, 22, 75?

You can find a detailed procedure to find GCD of 98, 18, 22, 75 on our page.

3. How to find GCD of 98, 18, 22, 75 on a calculator?

You can find the GCD of 98, 18, 22, 75 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.