GCD of 687, 298, 387, 763 Calculator

Given Input numbers are 687, 298, 387, 763

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

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Greatest Common Divisior

We found the divisors of 687, 298, 387, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 298, 387, 763 is 1.

Therefore, GCD of numbers 687, 298, 387, 763 is 1

Given Input Data is 687, 298, 387, 763

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 298 is 2 x 149

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 763 is 7 x 109

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(687, 298) = 204726

GCD(687, 298) = ( 687 x 298 ) / 204726

GCD(687, 298) = 204726 / 204726

GCD(687, 298) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 387

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

LCM(1, 387) = 387

GCD(1, 387) = ( 1 x 387 ) / 387

GCD(1, 387) = 387 / 387

GCD(1, 387) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 763

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

LCM(1, 763) = 763

GCD(1, 763) = ( 1 x 763 ) / 763

GCD(1, 763) = 763 / 763

GCD(1, 763) = 1

GCD of 687, 298, 387, 763 is 1

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1. What is the GCD of 687, 298, 387, 763?

GCD of 687, 298, 387, 763 is 1

2. Where do I get the detailed procedure to find GCD of 687, 298, 387, 763?

You can find a detailed procedure to find GCD of 687, 298, 387, 763 on our page.

3. How to find GCD of 687, 298, 387, 763 on a calculator?

You can find the GCD of 687, 298, 387, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.