GCD of 298, 290, 60, 352 Calculator

Given Input numbers are 298, 290, 60, 352

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

Divisors of 298

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

1, 2, 149, 298

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Greatest Common Divisior

We found the divisors of 298, 290, 60, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 290, 60, 352 is 2.

Therefore, GCD of numbers 298, 290, 60, 352 is 2

Given Input Data is 298, 290, 60, 352

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

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(298, 290) = 43210

GCD(298, 290) = ( 298 x 290 ) / 43210

GCD(298, 290) = 86420 / 43210

GCD(298, 290) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 60

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

LCM(2, 60) = 60

GCD(2, 60) = ( 2 x 60 ) / 60

GCD(2, 60) = 120 / 60

GCD(2, 60) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 352

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

LCM(2, 352) = 352

GCD(2, 352) = ( 2 x 352 ) / 352

GCD(2, 352) = 704 / 352

GCD(2, 352) = 2

GCD of 298, 290, 60, 352 is 2

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1. What is the GCD of 298, 290, 60, 352?

GCD of 298, 290, 60, 352 is 2

2. Where do I get the detailed procedure to find GCD of 298, 290, 60, 352?

You can find a detailed procedure to find GCD of 298, 290, 60, 352 on our page.

3. How to find GCD of 298, 290, 60, 352 on a calculator?

You can find the GCD of 298, 290, 60, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.