GCD of 298, 587, 762 Calculator

Given Input numbers are 298, 587, 762

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 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Greatest Common Divisior

We found the divisors of 298, 587, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 587, 762 is 1.

Therefore, GCD of numbers 298, 587, 762 is 1

Given Input Data is 298, 587, 762

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 762 is 2 x 3 x 127

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 762

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

LCM(1, 762) = 762

GCD(1, 762) = ( 1 x 762 ) / 762

GCD(1, 762) = 762 / 762

GCD(1, 762) = 1

GCD of 298, 587, 762 is 1

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1. What is the GCD of 298, 587, 762?

GCD of 298, 587, 762 is 1

2. Where do I get the detailed procedure to find GCD of 298, 587, 762?

You can find a detailed procedure to find GCD of 298, 587, 762 on our page.

3. How to find GCD of 298, 587, 762 on a calculator?

You can find the GCD of 298, 587, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.