GCD of 298, 587, 627, 960 Calculator

Given Input numbers are 298, 587, 627, 960

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 587

List of positive integer divisors of 587 that divides 587 without a remainder.

1, 587

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Greatest Common Divisior

We found the divisors of 298, 587, 627, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 587, 627, 960 is 1.

Therefore, GCD of numbers 298, 587, 627, 960 is 1

Given Input Data is 298, 587, 627, 960

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 587 is 587

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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(298, 587) = 174926

GCD(298, 587) = ( 298 x 587 ) / 174926

GCD(298, 587) = 174926 / 174926

GCD(298, 587) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 627

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

LCM(1, 627) = 627

GCD(1, 627) = ( 1 x 627 ) / 627

GCD(1, 627) = 627 / 627

GCD(1, 627) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

GCD of 298, 587, 627, 960 is 1

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1. What is the GCD of 298, 587, 627, 960?

GCD of 298, 587, 627, 960 is 1

2. Where do I get the detailed procedure to find GCD of 298, 587, 627, 960?

You can find a detailed procedure to find GCD of 298, 587, 627, 960 on our page.

3. How to find GCD of 298, 587, 627, 960 on a calculator?

You can find the GCD of 298, 587, 627, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.