GCD of 55, 278, 628, 268 Calculator

Given Input numbers are 55, 278, 628, 268

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

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 278

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

1, 2, 139, 278

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Greatest Common Divisior

We found the divisors of 55, 278, 628, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 55, 278, 628, 268 is 1.

Therefore, GCD of numbers 55, 278, 628, 268 is 1

Given Input Data is 55, 278, 628, 268

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

Prime Factorization of 55 is 5 x 11

Prime Factorization of 278 is 2 x 139

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 268 is 2 x 2 x 67

The above numbers do not have any common prime factor. So GCD is 1

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(55, 278) = 15290

GCD(55, 278) = ( 55 x 278 ) / 15290

GCD(55, 278) = 15290 / 15290

GCD(55, 278) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 628

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

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

GCD(1, 628) = 628 / 628

GCD(1, 628) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 268

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

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

GCD(1, 268) = 268 / 268

GCD(1, 268) = 1

GCD of 55, 278, 628, 268 is 1

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1. What is the GCD of 55, 278, 628, 268?

GCD of 55, 278, 628, 268 is 1

2. Where do I get the detailed procedure to find GCD of 55, 278, 628, 268?

You can find a detailed procedure to find GCD of 55, 278, 628, 268 on our page.

3. How to find GCD of 55, 278, 628, 268 on a calculator?

You can find the GCD of 55, 278, 628, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.