GCD of 834, 524, 756, 562 Calculator

Given Input numbers are 834, 524, 756, 562

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

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

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

Greatest Common Divisior

We found the divisors of 834, 524, 756, 562 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 834, 524, 756, 562 is 2.

Therefore, GCD of numbers 834, 524, 756, 562 is 2

Given Input Data is 834, 524, 756, 562

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

Prime Factorization of 834 is 2 x 3 x 139

Prime Factorization of 524 is 2 x 2 x 131

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

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(834, 524) = 218508

GCD(834, 524) = ( 834 x 524 ) / 218508

GCD(834, 524) = 437016 / 218508

GCD(834, 524) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 756

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

LCM(2, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

GCD(2, 756) = 1512 / 756

GCD(2, 756) = 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 834, 524, 756, 562 is 2

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1. What is the GCD of 834, 524, 756, 562?

GCD of 834, 524, 756, 562 is 2

2. Where do I get the detailed procedure to find GCD of 834, 524, 756, 562?

You can find a detailed procedure to find GCD of 834, 524, 756, 562 on our page.

3. How to find GCD of 834, 524, 756, 562 on a calculator?

You can find the GCD of 834, 524, 756, 562 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.