GCD of 456, 348, 49, 631 Calculator

Given Input numbers are 456, 348, 49, 631

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

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 631

List of positive integer divisors of 631 that divides 631 without a remainder.

1, 631

Greatest Common Divisior

We found the divisors of 456, 348, 49, 631 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 348, 49, 631 is 1.

Therefore, GCD of numbers 456, 348, 49, 631 is 1

Given Input Data is 456, 348, 49, 631

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

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 49 is 7 x 7

Prime Factorization of 631 is 631

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(456, 348) = 13224

GCD(456, 348) = ( 456 x 348 ) / 13224

GCD(456, 348) = 158688 / 13224

GCD(456, 348) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 49

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

LCM(12, 49) = 588

GCD(12, 49) = ( 12 x 49 ) / 588

GCD(12, 49) = 588 / 588

GCD(12, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 631

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

LCM(1, 631) = 631

GCD(1, 631) = ( 1 x 631 ) / 631

GCD(1, 631) = 631 / 631

GCD(1, 631) = 1

GCD of 456, 348, 49, 631 is 1

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• GCD of 942, 277, 35, 339
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1. What is the GCD of 456, 348, 49, 631?

GCD of 456, 348, 49, 631 is 1

2. Where do I get the detailed procedure to find GCD of 456, 348, 49, 631?

You can find a detailed procedure to find GCD of 456, 348, 49, 631 on our page.

3. How to find GCD of 456, 348, 49, 631 on a calculator?

You can find the GCD of 456, 348, 49, 631 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.