GCD of 144, 564, 93, 417 Calculator

Given Input numbers are 144, 564, 93, 417

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

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 93

List of positive integer divisors of 93 that divides 93 without a remainder.

1, 3, 31, 93

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 144, 564, 93, 417 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 564, 93, 417 is 3.

Therefore, GCD of numbers 144, 564, 93, 417 is 3

Given Input Data is 144, 564, 93, 417

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

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 93 is 3 x 31

Prime Factorization of 417 is 3 x 139

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(144, 564) = 6768

GCD(144, 564) = ( 144 x 564 ) / 6768

GCD(144, 564) = 81216 / 6768

GCD(144, 564) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 93

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

LCM(12, 93) = 372

GCD(12, 93) = ( 12 x 93 ) / 372

GCD(12, 93) = 1116 / 372

GCD(12, 93) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 417

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

LCM(3, 417) = 417

GCD(3, 417) = ( 3 x 417 ) / 417

GCD(3, 417) = 1251 / 417

GCD(3, 417) = 3

GCD of 144, 564, 93, 417 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 977, 359, 40, 166
• GCD of 393, 112, 41, 878
• GCD of 715, 806, 46, 471
• GCD of 604, 238, 59, 292
• GCD of 499, 688, 43, 681

1. What is the GCD of 144, 564, 93, 417?

GCD of 144, 564, 93, 417 is 3

2. Where do I get the detailed procedure to find GCD of 144, 564, 93, 417?

You can find a detailed procedure to find GCD of 144, 564, 93, 417 on our page.

3. How to find GCD of 144, 564, 93, 417 on a calculator?

You can find the GCD of 144, 564, 93, 417 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.