GCD of 362, 679, 360, 998 Calculator

Given Input numbers are 362, 679, 360, 998

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

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 998

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

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 362, 679, 360, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 679, 360, 998 is 1.

Therefore, GCD of numbers 362, 679, 360, 998 is 1

Given Input Data is 362, 679, 360, 998

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 679 is 7 x 97

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 998 is 2 x 499

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(362, 679) = 245798

GCD(362, 679) = ( 362 x 679 ) / 245798

GCD(362, 679) = 245798 / 245798

GCD(362, 679) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

GCD of 362, 679, 360, 998 is 1

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1. What is the GCD of 362, 679, 360, 998?

GCD of 362, 679, 360, 998 is 1

2. Where do I get the detailed procedure to find GCD of 362, 679, 360, 998?

You can find a detailed procedure to find GCD of 362, 679, 360, 998 on our page.

3. How to find GCD of 362, 679, 360, 998 on a calculator?

You can find the GCD of 362, 679, 360, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.