GCD of 148, 764, 56, 482 Calculator

Given Input numbers are 148, 764, 56, 482

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

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 482

List of positive integer divisors of 482 that divides 482 without a remainder.

1, 2, 241, 482

Greatest Common Divisior

We found the divisors of 148, 764, 56, 482 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 764, 56, 482 is 2.

Therefore, GCD of numbers 148, 764, 56, 482 is 2

Given Input Data is 148, 764, 56, 482

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

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 482 is 2 x 241

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(148, 764) = 28268

GCD(148, 764) = ( 148 x 764 ) / 28268

GCD(148, 764) = 113072 / 28268

GCD(148, 764) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 56

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

LCM(4, 56) = 56

GCD(4, 56) = ( 4 x 56 ) / 56

GCD(4, 56) = 224 / 56

GCD(4, 56) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 482

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

LCM(4, 482) = 964

GCD(4, 482) = ( 4 x 482 ) / 964

GCD(4, 482) = 1928 / 964

GCD(4, 482) = 2

GCD of 148, 764, 56, 482 is 2

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1. What is the GCD of 148, 764, 56, 482?

GCD of 148, 764, 56, 482 is 2

2. Where do I get the detailed procedure to find GCD of 148, 764, 56, 482?

You can find a detailed procedure to find GCD of 148, 764, 56, 482 on our page.

3. How to find GCD of 148, 764, 56, 482 on a calculator?

You can find the GCD of 148, 764, 56, 482 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.