GCD of 318, 778, 788, 562 Calculator

Given Input numbers are 318, 778, 788, 562

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

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Greatest Common Divisior

We found the divisors of 318, 778, 788, 562 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 778, 788, 562 is 2.

Therefore, GCD of numbers 318, 778, 788, 562 is 2

Given Input Data is 318, 778, 788, 562

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

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 778 is 2 x 389

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 562 is 2 x 281

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(318, 778) = 123702

GCD(318, 778) = ( 318 x 778 ) / 123702

GCD(318, 778) = 247404 / 123702

GCD(318, 778) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 788

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

LCM(2, 788) = 788

GCD(2, 788) = ( 2 x 788 ) / 788

GCD(2, 788) = 1576 / 788

GCD(2, 788) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 562

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

LCM(2, 562) = 562

GCD(2, 562) = ( 2 x 562 ) / 562

GCD(2, 562) = 1124 / 562

GCD(2, 562) = 2

GCD of 318, 778, 788, 562 is 2

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1. What is the GCD of 318, 778, 788, 562?

GCD of 318, 778, 788, 562 is 2

2. Where do I get the detailed procedure to find GCD of 318, 778, 788, 562?

You can find a detailed procedure to find GCD of 318, 778, 788, 562 on our page.

3. How to find GCD of 318, 778, 788, 562 on a calculator?

You can find the GCD of 318, 778, 788, 562 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.