GCD of 98, 114, 920, 500 Calculator

Given Input numbers are 98, 114, 920, 500

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 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Greatest Common Divisior

We found the divisors of 98, 114, 920, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 114, 920, 500 is 2.

Therefore, GCD of numbers 98, 114, 920, 500 is 2

Given Input Data is 98, 114, 920, 500

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 114 is 2 x 3 x 19

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 500 is 2 x 2 x 5 x 5 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, 114) = 5586

GCD(98, 114) = ( 98 x 114 ) / 5586

GCD(98, 114) = 11172 / 5586

GCD(98, 114) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 920

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

LCM(2, 920) = 920

GCD(2, 920) = ( 2 x 920 ) / 920

GCD(2, 920) = 1840 / 920

GCD(2, 920) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 500

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

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

GCD(2, 500) = 1000 / 500

GCD(2, 500) = 2

GCD of 98, 114, 920, 500 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 81, 558, 908, 196
• GCD of 45, 458, 944, 340
• GCD of 98, 382, 382, 675
• GCD of 86, 426, 449, 312
• GCD of 94, 958, 328, 230

1. What is the GCD of 98, 114, 920, 500?

GCD of 98, 114, 920, 500 is 2

2. Where do I get the detailed procedure to find GCD of 98, 114, 920, 500?

You can find a detailed procedure to find GCD of 98, 114, 920, 500 on our page.

3. How to find GCD of 98, 114, 920, 500 on a calculator?

You can find the GCD of 98, 114, 920, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.