GCD of 756, 282, 868, 280 Calculator

Given Input numbers are 756, 282, 868, 280

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 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Greatest Common Divisior

We found the divisors of 756, 282, 868, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 282, 868, 280 is 2.

Therefore, GCD of numbers 756, 282, 868, 280 is 2

Given Input Data is 756, 282, 868, 280

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 282 is 2 x 3 x 47

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 280 is 2 x 2 x 2 x 5 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(756, 282) = 35532

GCD(756, 282) = ( 756 x 282 ) / 35532

GCD(756, 282) = 213192 / 35532

GCD(756, 282) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 868

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

LCM(6, 868) = 2604

GCD(6, 868) = ( 6 x 868 ) / 2604

GCD(6, 868) = 5208 / 2604

GCD(6, 868) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 280

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

LCM(2, 280) = 280

GCD(2, 280) = ( 2 x 280 ) / 280

GCD(2, 280) = 560 / 280

GCD(2, 280) = 2

GCD of 756, 282, 868, 280 is 2

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1. What is the GCD of 756, 282, 868, 280?

GCD of 756, 282, 868, 280 is 2

2. Where do I get the detailed procedure to find GCD of 756, 282, 868, 280?

You can find a detailed procedure to find GCD of 756, 282, 868, 280 on our page.

3. How to find GCD of 756, 282, 868, 280 on a calculator?

You can find the GCD of 756, 282, 868, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.