GCD of 308, 722, 98 Calculator

Given Input numbers are 308, 722, 98

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

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 98

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

1, 2, 7, 14, 49, 98

Greatest Common Divisior

We found the divisors of 308, 722, 98 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 722, 98 is 2.

Therefore, GCD of numbers 308, 722, 98 is 2

Given Input Data is 308, 722, 98

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

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 98 is 2 x 7 x 7

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(308, 722) = 111188

GCD(308, 722) = ( 308 x 722 ) / 111188

GCD(308, 722) = 222376 / 111188

GCD(308, 722) = 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

GCD of 308, 722, 98 is 2

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1. What is the GCD of 308, 722, 98?

GCD of 308, 722, 98 is 2

2. Where do I get the detailed procedure to find GCD of 308, 722, 98?

You can find a detailed procedure to find GCD of 308, 722, 98 on our page.

3. How to find GCD of 308, 722, 98 on a calculator?

You can find the GCD of 308, 722, 98 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.