GCD of 970, 756, 28, 784 Calculator

Given Input numbers are 970, 756, 28, 784

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

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

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 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Greatest Common Divisior

We found the divisors of 970, 756, 28, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 756, 28, 784 is 2.

Therefore, GCD of numbers 970, 756, 28, 784 is 2

Given Input Data is 970, 756, 28, 784

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

Prime Factorization of 970 is 2 x 5 x 97

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

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 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(970, 756) = 366660

GCD(970, 756) = ( 970 x 756 ) / 366660

GCD(970, 756) = 733320 / 366660

GCD(970, 756) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 28

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

LCM(2, 28) = 28

GCD(2, 28) = ( 2 x 28 ) / 28

GCD(2, 28) = 56 / 28

GCD(2, 28) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 784

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

LCM(2, 784) = 784

GCD(2, 784) = ( 2 x 784 ) / 784

GCD(2, 784) = 1568 / 784

GCD(2, 784) = 2

GCD of 970, 756, 28, 784 is 2

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1. What is the GCD of 970, 756, 28, 784?

GCD of 970, 756, 28, 784 is 2

2. Where do I get the detailed procedure to find GCD of 970, 756, 28, 784?

You can find a detailed procedure to find GCD of 970, 756, 28, 784 on our page.

3. How to find GCD of 970, 756, 28, 784 on a calculator?

You can find the GCD of 970, 756, 28, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.