GCD of 98, 968, 204, 240 Calculator

Given Input numbers are 98, 968, 204, 240

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 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Greatest Common Divisior

We found the divisors of 98, 968, 204, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 968, 204, 240 is 2.

Therefore, GCD of numbers 98, 968, 204, 240 is 2

Given Input Data is 98, 968, 204, 240

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 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

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, 968) = 47432

GCD(98, 968) = ( 98 x 968 ) / 47432

GCD(98, 968) = 94864 / 47432

GCD(98, 968) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 204

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

LCM(2, 204) = 204

GCD(2, 204) = ( 2 x 204 ) / 204

GCD(2, 204) = 408 / 204

GCD(2, 204) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 240

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

LCM(2, 240) = 240

GCD(2, 240) = ( 2 x 240 ) / 240

GCD(2, 240) = 480 / 240

GCD(2, 240) = 2

GCD of 98, 968, 204, 240 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 15, 152, 131, 202
• GCD of 38, 682, 753, 215
• GCD of 92, 584, 977, 779
• GCD of 44, 240, 974, 873
• GCD of 56, 147, 217, 335

1. What is the GCD of 98, 968, 204, 240?

GCD of 98, 968, 204, 240 is 2

2. Where do I get the detailed procedure to find GCD of 98, 968, 204, 240?

You can find a detailed procedure to find GCD of 98, 968, 204, 240 on our page.

3. How to find GCD of 98, 968, 204, 240 on a calculator?

You can find the GCD of 98, 968, 204, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.