GCD of 278, 892, 78, 648 Calculator

Given Input numbers are 278, 892, 78, 648

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 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

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

Greatest Common Divisior

We found the divisors of 278, 892, 78, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 892, 78, 648 is 2.

Therefore, GCD of numbers 278, 892, 78, 648 is 2

Given Input Data is 278, 892, 78, 648

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

Prime Factorization of 278 is 2 x 139

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 78 is 2 x 3 x 13

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

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, 892) = 123988

GCD(278, 892) = ( 278 x 892 ) / 123988

GCD(278, 892) = 247976 / 123988

GCD(278, 892) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 78

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

LCM(2, 78) = 78

GCD(2, 78) = ( 2 x 78 ) / 78

GCD(2, 78) = 156 / 78

GCD(2, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 648

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

LCM(2, 648) = 648

GCD(2, 648) = ( 2 x 648 ) / 648

GCD(2, 648) = 1296 / 648

GCD(2, 648) = 2

GCD of 278, 892, 78, 648 is 2

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1. What is the GCD of 278, 892, 78, 648?

GCD of 278, 892, 78, 648 is 2

2. Where do I get the detailed procedure to find GCD of 278, 892, 78, 648?

You can find a detailed procedure to find GCD of 278, 892, 78, 648 on our page.

3. How to find GCD of 278, 892, 78, 648 on a calculator?

You can find the GCD of 278, 892, 78, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.