GCD of 98, 14, 52, 96 Calculator

Given Input numbers are 98, 14, 52, 96

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 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Greatest Common Divisior

We found the divisors of 98, 14, 52, 96 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 14, 52, 96 is 2.

Therefore, GCD of numbers 98, 14, 52, 96 is 2

Given Input Data is 98, 14, 52, 96

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 14 is 2 x 7

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

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, 14) = 98

GCD(98, 14) = ( 98 x 14 ) / 98

GCD(98, 14) = 1372 / 98

GCD(98, 14) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 52

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

LCM(14, 52) = 364

GCD(14, 52) = ( 14 x 52 ) / 364

GCD(14, 52) = 728 / 364

GCD(14, 52) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 96

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

LCM(2, 96) = 96

GCD(2, 96) = ( 2 x 96 ) / 96

GCD(2, 96) = 192 / 96

GCD(2, 96) = 2

GCD of 98, 14, 52, 96 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 65, 31, 92, 24
• GCD of 63, 44, 13, 36
• GCD of 36, 94, 63, 96
• GCD of 29, 60, 21, 67
• GCD of 73, 75, 37, 67

1. What is the GCD of 98, 14, 52, 96?

GCD of 98, 14, 52, 96 is 2

2. Where do I get the detailed procedure to find GCD of 98, 14, 52, 96?

You can find a detailed procedure to find GCD of 98, 14, 52, 96 on our page.

3. How to find GCD of 98, 14, 52, 96 on a calculator?

You can find the GCD of 98, 14, 52, 96 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.