GCD of 106, 898, 98, 506 Calculator

Given Input numbers are 106, 898, 98, 506

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Greatest Common Divisior

We found the divisors of 106, 898, 98, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 898, 98, 506 is 2.

Therefore, GCD of numbers 106, 898, 98, 506 is 2

Given Input Data is 106, 898, 98, 506

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 106 is 2 x 53

Prime Factorization of 898 is 2 x 449

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 506 is 2 x 11 x 23

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(106, 898) = 47594

GCD(106, 898) = ( 106 x 898 ) / 47594

GCD(106, 898) = 95188 / 47594

GCD(106, 898) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 98

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

LCM(2, 98) = 98

GCD(2, 98) = ( 2 x 98 ) / 98

GCD(2, 98) = 196 / 98

GCD(2, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 506

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

LCM(2, 506) = 506

GCD(2, 506) = ( 2 x 506 ) / 506

GCD(2, 506) = 1012 / 506

GCD(2, 506) = 2

GCD of 106, 898, 98, 506 is 2

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1. What is the GCD of 106, 898, 98, 506?

GCD of 106, 898, 98, 506 is 2

2. Where do I get the detailed procedure to find GCD of 106, 898, 98, 506?

You can find a detailed procedure to find GCD of 106, 898, 98, 506 on our page.

3. How to find GCD of 106, 898, 98, 506 on a calculator?

You can find the GCD of 106, 898, 98, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.