GCD of 874, 756, 46, 663 Calculator

Given Input numbers are 874, 756, 46, 663

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

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

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 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Greatest Common Divisior

We found the divisors of 874, 756, 46, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 756, 46, 663 is 1.

Therefore, GCD of numbers 874, 756, 46, 663 is 1

Given Input Data is 874, 756, 46, 663

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

Prime Factorization of 874 is 2 x 19 x 23

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 663 is 3 x 13 x 17

The above numbers do not have any common prime factor. So GCD is 1

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(874, 756) = 330372

GCD(874, 756) = ( 874 x 756 ) / 330372

GCD(874, 756) = 660744 / 330372

GCD(874, 756) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 46

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

LCM(2, 46) = 46

GCD(2, 46) = ( 2 x 46 ) / 46

GCD(2, 46) = 92 / 46

GCD(2, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 663

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

LCM(2, 663) = 1326

GCD(2, 663) = ( 2 x 663 ) / 1326

GCD(2, 663) = 1326 / 1326

GCD(2, 663) = 1

GCD of 874, 756, 46, 663 is 1

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1. What is the GCD of 874, 756, 46, 663?

GCD of 874, 756, 46, 663 is 1

2. Where do I get the detailed procedure to find GCD of 874, 756, 46, 663?

You can find a detailed procedure to find GCD of 874, 756, 46, 663 on our page.

3. How to find GCD of 874, 756, 46, 663 on a calculator?

You can find the GCD of 874, 756, 46, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.