GCD of 113, 462, 48, 959 Calculator

Given Input numbers are 113, 462, 48, 959

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

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Greatest Common Divisior

We found the divisors of 113, 462, 48, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 462, 48, 959 is 1.

Therefore, GCD of numbers 113, 462, 48, 959 is 1

Given Input Data is 113, 462, 48, 959

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

Prime Factorization of 113 is 113

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 959 is 7 x 137

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(113, 462) = 52206

GCD(113, 462) = ( 113 x 462 ) / 52206

GCD(113, 462) = 52206 / 52206

GCD(113, 462) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 959

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

LCM(1, 959) = 959

GCD(1, 959) = ( 1 x 959 ) / 959

GCD(1, 959) = 959 / 959

GCD(1, 959) = 1

GCD of 113, 462, 48, 959 is 1

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1. What is the GCD of 113, 462, 48, 959?

GCD of 113, 462, 48, 959 is 1

2. Where do I get the detailed procedure to find GCD of 113, 462, 48, 959?

You can find a detailed procedure to find GCD of 113, 462, 48, 959 on our page.

3. How to find GCD of 113, 462, 48, 959 on a calculator?

You can find the GCD of 113, 462, 48, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.