GCD of 268, 786, 562, 756 Calculator

Given Input numbers are 268, 786, 562, 756

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

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 562

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

1, 2, 281, 562

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

Greatest Common Divisior

We found the divisors of 268, 786, 562, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 786, 562, 756 is 2.

Therefore, GCD of numbers 268, 786, 562, 756 is 2

Given Input Data is 268, 786, 562, 756

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

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 562 is 2 x 281

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

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(268, 786) = 105324

GCD(268, 786) = ( 268 x 786 ) / 105324

GCD(268, 786) = 210648 / 105324

GCD(268, 786) = 2

Step2:

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

Step3:

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

GCD of 268, 786, 562, 756 is 2

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1. What is the GCD of 268, 786, 562, 756?

GCD of 268, 786, 562, 756 is 2

2. Where do I get the detailed procedure to find GCD of 268, 786, 562, 756?

You can find a detailed procedure to find GCD of 268, 786, 562, 756 on our page.

3. How to find GCD of 268, 786, 562, 756 on a calculator?

You can find the GCD of 268, 786, 562, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.