GCD of 756, 562, 366, 214 Calculator

Given Input numbers are 756, 562, 366, 214

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

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 562

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

1, 2, 281, 562

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 756, 562, 366, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 562, 366, 214 is 2.

Therefore, GCD of numbers 756, 562, 366, 214 is 2

Given Input Data is 756, 562, 366, 214

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

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 562 is 2 x 281

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 214 is 2 x 107

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(756, 562) = 212436

GCD(756, 562) = ( 756 x 562 ) / 212436

GCD(756, 562) = 424872 / 212436

GCD(756, 562) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 366

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

LCM(2, 366) = 366

GCD(2, 366) = ( 2 x 366 ) / 366

GCD(2, 366) = 732 / 366

GCD(2, 366) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 214

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

LCM(2, 214) = 214

GCD(2, 214) = ( 2 x 214 ) / 214

GCD(2, 214) = 428 / 214

GCD(2, 214) = 2

GCD of 756, 562, 366, 214 is 2

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1. What is the GCD of 756, 562, 366, 214?

GCD of 756, 562, 366, 214 is 2

2. Where do I get the detailed procedure to find GCD of 756, 562, 366, 214?

You can find a detailed procedure to find GCD of 756, 562, 366, 214 on our page.

3. How to find GCD of 756, 562, 366, 214 on a calculator?

You can find the GCD of 756, 562, 366, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.