GCD of 286, 686, 178, 780 Calculator

Given Input numbers are 286, 686, 178, 780

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 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Greatest Common Divisior

We found the divisors of 286, 686, 178, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 286, 686, 178, 780 is 2.

Therefore, GCD of numbers 286, 686, 178, 780 is 2

Given Input Data is 286, 686, 178, 780

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 686 is 2 x 7 x 7 x 7

Prime Factorization of 178 is 2 x 89

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 686) = 98098

GCD(286, 686) = ( 286 x 686 ) / 98098

GCD(286, 686) = 196196 / 98098

GCD(286, 686) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 178

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

LCM(2, 178) = 178

GCD(2, 178) = ( 2 x 178 ) / 178

GCD(2, 178) = 356 / 178

GCD(2, 178) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 780

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

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

GCD(2, 780) = 1560 / 780

GCD(2, 780) = 2

GCD of 286, 686, 178, 780 is 2

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1. What is the GCD of 286, 686, 178, 780?

GCD of 286, 686, 178, 780 is 2

2. Where do I get the detailed procedure to find GCD of 286, 686, 178, 780?

You can find a detailed procedure to find GCD of 286, 686, 178, 780 on our page.

3. How to find GCD of 286, 686, 178, 780 on a calculator?

You can find the GCD of 286, 686, 178, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.