GCD of 48, 969, 464, 123 Calculator

Given Input numbers are 48, 969, 464, 123

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

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 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 48, 969, 464, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 969, 464, 123 is 1.

Therefore, GCD of numbers 48, 969, 464, 123 is 1

Given Input Data is 48, 969, 464, 123

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

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

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 123 is 3 x 41

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(48, 969) = 15504

GCD(48, 969) = ( 48 x 969 ) / 15504

GCD(48, 969) = 46512 / 15504

GCD(48, 969) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 464

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

LCM(3, 464) = 1392

GCD(3, 464) = ( 3 x 464 ) / 1392

GCD(3, 464) = 1392 / 1392

GCD(3, 464) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

GCD of 48, 969, 464, 123 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 35, 969, 327, 394
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• GCD of 14, 365, 813, 797

1. What is the GCD of 48, 969, 464, 123?

GCD of 48, 969, 464, 123 is 1

2. Where do I get the detailed procedure to find GCD of 48, 969, 464, 123?

You can find a detailed procedure to find GCD of 48, 969, 464, 123 on our page.

3. How to find GCD of 48, 969, 464, 123 on a calculator?

You can find the GCD of 48, 969, 464, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.