GCD of 598, 998, 277, 608 Calculator

Given Input numbers are 598, 998, 277, 608

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

Divisors of 598

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

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

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 277

List of positive integer divisors of 277 that divides 277 without a remainder.

1, 277

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Greatest Common Divisior

We found the divisors of 598, 998, 277, 608 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 998, 277, 608 is 1.

Therefore, GCD of numbers 598, 998, 277, 608 is 1

Given Input Data is 598, 998, 277, 608

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

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 998 is 2 x 499

Prime Factorization of 277 is 277

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

The above numbers do not have any common prime factor. So GCD is 1

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(598, 998) = 298402

GCD(598, 998) = ( 598 x 998 ) / 298402

GCD(598, 998) = 596804 / 298402

GCD(598, 998) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 277

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

LCM(2, 277) = 554

GCD(2, 277) = ( 2 x 277 ) / 554

GCD(2, 277) = 554 / 554

GCD(2, 277) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 608

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

LCM(1, 608) = 608

GCD(1, 608) = ( 1 x 608 ) / 608

GCD(1, 608) = 608 / 608

GCD(1, 608) = 1

GCD of 598, 998, 277, 608 is 1

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1. What is the GCD of 598, 998, 277, 608?

GCD of 598, 998, 277, 608 is 1

2. Where do I get the detailed procedure to find GCD of 598, 998, 277, 608?

You can find a detailed procedure to find GCD of 598, 998, 277, 608 on our page.

3. How to find GCD of 598, 998, 277, 608 on a calculator?

You can find the GCD of 598, 998, 277, 608 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.