GCD of 425, 578, 46, 756 Calculator

Given Input numbers are 425, 578, 46, 756

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

Divisors of 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 46

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

1, 2, 23, 46

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 425, 578, 46, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 425, 578, 46, 756 is 1.

Therefore, GCD of numbers 425, 578, 46, 756 is 1

Given Input Data is 425, 578, 46, 756

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

Prime Factorization of 425 is 5 x 5 x 17

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 46 is 2 x 23

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

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(425, 578) = 14450

GCD(425, 578) = ( 425 x 578 ) / 14450

GCD(425, 578) = 245650 / 14450

GCD(425, 578) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 46

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

LCM(17, 46) = 782

GCD(17, 46) = ( 17 x 46 ) / 782

GCD(17, 46) = 782 / 782

GCD(17, 46) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 756

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

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

GCD(1, 756) = 756 / 756

GCD(1, 756) = 1

GCD of 425, 578, 46, 756 is 1

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1. What is the GCD of 425, 578, 46, 756?

GCD of 425, 578, 46, 756 is 1

2. Where do I get the detailed procedure to find GCD of 425, 578, 46, 756?

You can find a detailed procedure to find GCD of 425, 578, 46, 756 on our page.

3. How to find GCD of 425, 578, 46, 756 on a calculator?

You can find the GCD of 425, 578, 46, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.