GCD of 330, 448, 86, 118 Calculator

Given Input numbers are 330, 448, 86, 118

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

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

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

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Greatest Common Divisior

We found the divisors of 330, 448, 86, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 448, 86, 118 is 2.

Therefore, GCD of numbers 330, 448, 86, 118 is 2

Given Input Data is 330, 448, 86, 118

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

Prime Factorization of 330 is 2 x 3 x 5 x 11

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

Prime Factorization of 86 is 2 x 43

Prime Factorization of 118 is 2 x 59

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(330, 448) = 73920

GCD(330, 448) = ( 330 x 448 ) / 73920

GCD(330, 448) = 147840 / 73920

GCD(330, 448) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 86

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

LCM(2, 86) = 86

GCD(2, 86) = ( 2 x 86 ) / 86

GCD(2, 86) = 172 / 86

GCD(2, 86) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 118

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

LCM(2, 118) = 118

GCD(2, 118) = ( 2 x 118 ) / 118

GCD(2, 118) = 236 / 118

GCD(2, 118) = 2

GCD of 330, 448, 86, 118 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 377, 185, 38, 382
• GCD of 714, 497, 31, 723
• GCD of 546, 957, 70, 609
• GCD of 626, 916, 88, 666
• GCD of 334, 444, 77, 884

1. What is the GCD of 330, 448, 86, 118?

GCD of 330, 448, 86, 118 is 2

2. Where do I get the detailed procedure to find GCD of 330, 448, 86, 118?

You can find a detailed procedure to find GCD of 330, 448, 86, 118 on our page.

3. How to find GCD of 330, 448, 86, 118 on a calculator?

You can find the GCD of 330, 448, 86, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.