GCD of 658, 298, 10 Calculator

Given Input numbers are 658, 298, 10

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

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Greatest Common Divisior

We found the divisors of 658, 298, 10 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 298, 10 is 2.

Therefore, GCD of numbers 658, 298, 10 is 2

Given Input Data is 658, 298, 10

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

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 298 is 2 x 149

Prime Factorization of 10 is 2 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(658, 298) = 98042

GCD(658, 298) = ( 658 x 298 ) / 98042

GCD(658, 298) = 196084 / 98042

GCD(658, 298) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

GCD of 658, 298, 10 is 2

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1. What is the GCD of 658, 298, 10?

GCD of 658, 298, 10 is 2

2. Where do I get the detailed procedure to find GCD of 658, 298, 10?

You can find a detailed procedure to find GCD of 658, 298, 10 on our page.

3. How to find GCD of 658, 298, 10 on a calculator?

You can find the GCD of 658, 298, 10 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.