GCD of 104, 562, 772, 982 Calculator

Given Input numbers are 104, 562, 772, 982

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

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 562

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

1, 2, 281, 562

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 104, 562, 772, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 562, 772, 982 is 2.

Therefore, GCD of numbers 104, 562, 772, 982 is 2

Given Input Data is 104, 562, 772, 982

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

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 562 is 2 x 281

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 982 is 2 x 491

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(104, 562) = 29224

GCD(104, 562) = ( 104 x 562 ) / 29224

GCD(104, 562) = 58448 / 29224

GCD(104, 562) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 772

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

LCM(2, 772) = 772

GCD(2, 772) = ( 2 x 772 ) / 772

GCD(2, 772) = 1544 / 772

GCD(2, 772) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 982

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

LCM(2, 982) = 982

GCD(2, 982) = ( 2 x 982 ) / 982

GCD(2, 982) = 1964 / 982

GCD(2, 982) = 2

GCD of 104, 562, 772, 982 is 2

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1. What is the GCD of 104, 562, 772, 982?

GCD of 104, 562, 772, 982 is 2

2. Where do I get the detailed procedure to find GCD of 104, 562, 772, 982?

You can find a detailed procedure to find GCD of 104, 562, 772, 982 on our page.

3. How to find GCD of 104, 562, 772, 982 on a calculator?

You can find the GCD of 104, 562, 772, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.