GCD of 780, 408, 562, 206 Calculator

Given Input numbers are 780, 408, 562, 206

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

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

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 562

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

1, 2, 281, 562

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Greatest Common Divisior

We found the divisors of 780, 408, 562, 206 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 408, 562, 206 is 2.

Therefore, GCD of numbers 780, 408, 562, 206 is 2

Given Input Data is 780, 408, 562, 206

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

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 562 is 2 x 281

Prime Factorization of 206 is 2 x 103

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(780, 408) = 26520

GCD(780, 408) = ( 780 x 408 ) / 26520

GCD(780, 408) = 318240 / 26520

GCD(780, 408) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 562

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

LCM(12, 562) = 3372

GCD(12, 562) = ( 12 x 562 ) / 3372

GCD(12, 562) = 6744 / 3372

GCD(12, 562) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 206

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

LCM(2, 206) = 206

GCD(2, 206) = ( 2 x 206 ) / 206

GCD(2, 206) = 412 / 206

GCD(2, 206) = 2

GCD of 780, 408, 562, 206 is 2

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1. What is the GCD of 780, 408, 562, 206?

GCD of 780, 408, 562, 206 is 2

2. Where do I get the detailed procedure to find GCD of 780, 408, 562, 206?

You can find a detailed procedure to find GCD of 780, 408, 562, 206 on our page.

3. How to find GCD of 780, 408, 562, 206 on a calculator?

You can find the GCD of 780, 408, 562, 206 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.