GCD of 752, 448, 278 Calculator

Given Input numbers are 752, 448, 278

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

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

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 278

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

1, 2, 139, 278

Greatest Common Divisior

We found the divisors of 752, 448, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 448, 278 is 2.

Therefore, GCD of numbers 752, 448, 278 is 2

Given Input Data is 752, 448, 278

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

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

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

Prime Factorization of 278 is 2 x 139

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(752, 448) = 21056

GCD(752, 448) = ( 752 x 448 ) / 21056

GCD(752, 448) = 336896 / 21056

GCD(752, 448) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 278

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

LCM(16, 278) = 2224

GCD(16, 278) = ( 16 x 278 ) / 2224

GCD(16, 278) = 4448 / 2224

GCD(16, 278) = 2

GCD of 752, 448, 278 is 2

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1. What is the GCD of 752, 448, 278?

GCD of 752, 448, 278 is 2

2. Where do I get the detailed procedure to find GCD of 752, 448, 278?

You can find a detailed procedure to find GCD of 752, 448, 278 on our page.

3. How to find GCD of 752, 448, 278 on a calculator?

You can find the GCD of 752, 448, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.