GCD of 98, 75, 24, 66 Calculator

Given Input numbers are 98, 75, 24, 66

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 75

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

1, 3, 5, 15, 25, 75

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Greatest Common Divisior

We found the divisors of 98, 75, 24, 66 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 75, 24, 66 is 1.

Therefore, GCD of numbers 98, 75, 24, 66 is 1

Given Input Data is 98, 75, 24, 66

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 75 is 3 x 5 x 5

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 66 is 2 x 3 x 11

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, 75) = 7350

GCD(98, 75) = ( 98 x 75 ) / 7350

GCD(98, 75) = 7350 / 7350

GCD(98, 75) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 24

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

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

GCD(1, 24) = 24 / 24

GCD(1, 24) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

GCD of 98, 75, 24, 66 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 73, 20, 44
• GCD of 95, 57, 57, 94
• GCD of 20, 61, 37, 68
• GCD of 58, 31, 71, 51
• GCD of 93, 92, 13, 49

1. What is the GCD of 98, 75, 24, 66?

GCD of 98, 75, 24, 66 is 1

2. Where do I get the detailed procedure to find GCD of 98, 75, 24, 66?

You can find a detailed procedure to find GCD of 98, 75, 24, 66 on our page.

3. How to find GCD of 98, 75, 24, 66 on a calculator?

You can find the GCD of 98, 75, 24, 66 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.