GCD of 98, 92, 20, 16 Calculator

Given Input numbers are 98, 92, 20, 16

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 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Greatest Common Divisior

We found the divisors of 98, 92, 20, 16 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 92, 20, 16 is 2.

Therefore, GCD of numbers 98, 92, 20, 16 is 2

Given Input Data is 98, 92, 20, 16

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 92 is 2 x 2 x 23

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 16 is 2 x 2 x 2 x 2

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 92) = 4508

GCD(98, 92) = ( 98 x 92 ) / 4508

GCD(98, 92) = 9016 / 4508

GCD(98, 92) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 20

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

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

GCD(2, 20) = 40 / 20

GCD(2, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

GCD of 98, 92, 20, 16 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 10, 29, 59, 70
• GCD of 66, 24, 54, 67
• GCD of 65, 84, 69, 26
• GCD of 17, 32, 22, 22
• GCD of 18, 37, 24, 89

1. What is the GCD of 98, 92, 20, 16?

GCD of 98, 92, 20, 16 is 2

2. Where do I get the detailed procedure to find GCD of 98, 92, 20, 16?

You can find a detailed procedure to find GCD of 98, 92, 20, 16 on our page.

3. How to find GCD of 98, 92, 20, 16 on a calculator?

You can find the GCD of 98, 92, 20, 16 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.