GCD of 501, 642, 766, 798 Calculator

Given Input numbers are 501, 642, 766, 798

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

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Greatest Common Divisior

We found the divisors of 501, 642, 766, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 642, 766, 798 is 1.

Therefore, GCD of numbers 501, 642, 766, 798 is 1

Given Input Data is 501, 642, 766, 798

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

Prime Factorization of 501 is 3 x 167

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 766 is 2 x 383

Prime Factorization of 798 is 2 x 3 x 7 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(501, 642) = 107214

GCD(501, 642) = ( 501 x 642 ) / 107214

GCD(501, 642) = 321642 / 107214

GCD(501, 642) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 766

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

LCM(3, 766) = 2298

GCD(3, 766) = ( 3 x 766 ) / 2298

GCD(3, 766) = 2298 / 2298

GCD(3, 766) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 798

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

LCM(1, 798) = 798

GCD(1, 798) = ( 1 x 798 ) / 798

GCD(1, 798) = 798 / 798

GCD(1, 798) = 1

GCD of 501, 642, 766, 798 is 1

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1. What is the GCD of 501, 642, 766, 798?

GCD of 501, 642, 766, 798 is 1

2. Where do I get the detailed procedure to find GCD of 501, 642, 766, 798?

You can find a detailed procedure to find GCD of 501, 642, 766, 798 on our page.

3. How to find GCD of 501, 642, 766, 798 on a calculator?

You can find the GCD of 501, 642, 766, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.