GCD of 278, 648, 150 Calculator

Given Input numbers are 278, 648, 150

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

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

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 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Greatest Common Divisior

We found the divisors of 278, 648, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 648, 150 is 2.

Therefore, GCD of numbers 278, 648, 150 is 2

Given Input Data is 278, 648, 150

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

Prime Factorization of 278 is 2 x 139

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

Prime Factorization of 150 is 2 x 3 x 5 x 5

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(278, 648) = 90072

GCD(278, 648) = ( 278 x 648 ) / 90072

GCD(278, 648) = 180144 / 90072

GCD(278, 648) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 150

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

LCM(2, 150) = 150

GCD(2, 150) = ( 2 x 150 ) / 150

GCD(2, 150) = 300 / 150

GCD(2, 150) = 2

GCD of 278, 648, 150 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 588, 650, 597
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• GCD of 278, 976, 191
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1. What is the GCD of 278, 648, 150?

GCD of 278, 648, 150 is 2

2. Where do I get the detailed procedure to find GCD of 278, 648, 150?

You can find a detailed procedure to find GCD of 278, 648, 150 on our page.

3. How to find GCD of 278, 648, 150 on a calculator?

You can find the GCD of 278, 648, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.