GCD of 286, 504, 642, 779 Calculator

Given Input numbers are 286, 504, 642, 779

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

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Greatest Common Divisior

We found the divisors of 286, 504, 642, 779 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 286, 504, 642, 779 is 1.

Therefore, GCD of numbers 286, 504, 642, 779 is 1

Given Input Data is 286, 504, 642, 779

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

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 779 is 19 x 41

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(286, 504) = 72072

GCD(286, 504) = ( 286 x 504 ) / 72072

GCD(286, 504) = 144144 / 72072

GCD(286, 504) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 642

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

LCM(2, 642) = 642

GCD(2, 642) = ( 2 x 642 ) / 642

GCD(2, 642) = 1284 / 642

GCD(2, 642) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 779

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

LCM(2, 779) = 1558

GCD(2, 779) = ( 2 x 779 ) / 1558

GCD(2, 779) = 1558 / 1558

GCD(2, 779) = 1

GCD of 286, 504, 642, 779 is 1

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1. What is the GCD of 286, 504, 642, 779?

GCD of 286, 504, 642, 779 is 1

2. Where do I get the detailed procedure to find GCD of 286, 504, 642, 779?

You can find a detailed procedure to find GCD of 286, 504, 642, 779 on our page.

3. How to find GCD of 286, 504, 642, 779 on a calculator?

You can find the GCD of 286, 504, 642, 779 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.