GCD of 48, 152, 183, 417 Calculator

Given Input numbers are 48, 152, 183, 417

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 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 183

List of positive integer divisors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Greatest Common Divisior

We found the divisors of 48, 152, 183, 417 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 152, 183, 417 is 1.

Therefore, GCD of numbers 48, 152, 183, 417 is 1

Given Input Data is 48, 152, 183, 417

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 152 is 2 x 2 x 2 x 19

Prime Factorization of 183 is 3 x 61

Prime Factorization of 417 is 3 x 139

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, 152) = 912

GCD(48, 152) = ( 48 x 152 ) / 912

GCD(48, 152) = 7296 / 912

GCD(48, 152) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 183

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

LCM(8, 183) = 1464

GCD(8, 183) = ( 8 x 183 ) / 1464

GCD(8, 183) = 1464 / 1464

GCD(8, 183) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 417

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

LCM(1, 417) = 417

GCD(1, 417) = ( 1 x 417 ) / 417

GCD(1, 417) = 417 / 417

GCD(1, 417) = 1

GCD of 48, 152, 183, 417 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 44, 586, 409, 545
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• GCD of 83, 143, 359, 219
• GCD of 40, 808, 580, 799
• GCD of 81, 375, 304, 424

1. What is the GCD of 48, 152, 183, 417?

GCD of 48, 152, 183, 417 is 1

2. Where do I get the detailed procedure to find GCD of 48, 152, 183, 417?

You can find a detailed procedure to find GCD of 48, 152, 183, 417 on our page.

3. How to find GCD of 48, 152, 183, 417 on a calculator?

You can find the GCD of 48, 152, 183, 417 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.