GCD of 48, 972, 923, 411 Calculator

Given Input numbers are 48, 972, 923, 411

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 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Divisors of 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

Greatest Common Divisior

We found the divisors of 48, 972, 923, 411 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 972, 923, 411 is 1.

Therefore, GCD of numbers 48, 972, 923, 411 is 1

Given Input Data is 48, 972, 923, 411

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 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 923 is 13 x 71

Prime Factorization of 411 is 3 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(48, 972) = 3888

GCD(48, 972) = ( 48 x 972 ) / 3888

GCD(48, 972) = 46656 / 3888

GCD(48, 972) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 923

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

LCM(12, 923) = 11076

GCD(12, 923) = ( 12 x 923 ) / 11076

GCD(12, 923) = 11076 / 11076

GCD(12, 923) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 411

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

LCM(1, 411) = 411

GCD(1, 411) = ( 1 x 411 ) / 411

GCD(1, 411) = 411 / 411

GCD(1, 411) = 1

GCD of 48, 972, 923, 411 is 1

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1. What is the GCD of 48, 972, 923, 411?

GCD of 48, 972, 923, 411 is 1

2. Where do I get the detailed procedure to find GCD of 48, 972, 923, 411?

You can find a detailed procedure to find GCD of 48, 972, 923, 411 on our page.

3. How to find GCD of 48, 972, 923, 411 on a calculator?

You can find the GCD of 48, 972, 923, 411 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.