GCD of 280, 188, 602, 598 Calculator

Given Input numbers are 280, 188, 602, 598

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

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Greatest Common Divisior

We found the divisors of 280, 188, 602, 598 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 188, 602, 598 is 2.

Therefore, GCD of numbers 280, 188, 602, 598 is 2

Given Input Data is 280, 188, 602, 598

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

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 602 is 2 x 7 x 43

Prime Factorization of 598 is 2 x 13 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(280, 188) = 13160

GCD(280, 188) = ( 280 x 188 ) / 13160

GCD(280, 188) = 52640 / 13160

GCD(280, 188) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 602

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

LCM(4, 602) = 1204

GCD(4, 602) = ( 4 x 602 ) / 1204

GCD(4, 602) = 2408 / 1204

GCD(4, 602) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 598

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

LCM(2, 598) = 598

GCD(2, 598) = ( 2 x 598 ) / 598

GCD(2, 598) = 1196 / 598

GCD(2, 598) = 2

GCD of 280, 188, 602, 598 is 2

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1. What is the GCD of 280, 188, 602, 598?

GCD of 280, 188, 602, 598 is 2

2. Where do I get the detailed procedure to find GCD of 280, 188, 602, 598?

You can find a detailed procedure to find GCD of 280, 188, 602, 598 on our page.

3. How to find GCD of 280, 188, 602, 598 on a calculator?

You can find the GCD of 280, 188, 602, 598 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.