GCD of 648, 182, 412, 448 Calculator

Given Input numbers are 648, 182, 412, 448

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

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Greatest Common Divisior

We found the divisors of 648, 182, 412, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 182, 412, 448 is 2.

Therefore, GCD of numbers 648, 182, 412, 448 is 2

Given Input Data is 648, 182, 412, 448

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

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(648, 182) = 58968

GCD(648, 182) = ( 648 x 182 ) / 58968

GCD(648, 182) = 117936 / 58968

GCD(648, 182) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 412

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

LCM(2, 412) = 412

GCD(2, 412) = ( 2 x 412 ) / 412

GCD(2, 412) = 824 / 412

GCD(2, 412) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 448

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

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

GCD(2, 448) = 896 / 448

GCD(2, 448) = 2

GCD of 648, 182, 412, 448 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 365, 409, 654, 252
• GCD of 456, 926, 980, 981
• GCD of 382, 502, 933, 263
• GCD of 831, 620, 414, 602
• GCD of 179, 373, 782, 325

1. What is the GCD of 648, 182, 412, 448?

GCD of 648, 182, 412, 448 is 2

2. Where do I get the detailed procedure to find GCD of 648, 182, 412, 448?

You can find a detailed procedure to find GCD of 648, 182, 412, 448 on our page.

3. How to find GCD of 648, 182, 412, 448 on a calculator?

You can find the GCD of 648, 182, 412, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.