GCD of 278, 375, 558, 755 Calculator

Given Input numbers are 278, 375, 558, 755

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 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Greatest Common Divisior

We found the divisors of 278, 375, 558, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 375, 558, 755 is 1.

Therefore, GCD of numbers 278, 375, 558, 755 is 1

Given Input Data is 278, 375, 558, 755

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

Prime Factorization of 278 is 2 x 139

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 755 is 5 x 151

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(278, 375) = 104250

GCD(278, 375) = ( 278 x 375 ) / 104250

GCD(278, 375) = 104250 / 104250

GCD(278, 375) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 558

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

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

GCD(1, 558) = 558 / 558

GCD(1, 558) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 755

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

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

GCD(1, 755) = 755 / 755

GCD(1, 755) = 1

GCD of 278, 375, 558, 755 is 1

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1. What is the GCD of 278, 375, 558, 755?

GCD of 278, 375, 558, 755 is 1

2. Where do I get the detailed procedure to find GCD of 278, 375, 558, 755?

You can find a detailed procedure to find GCD of 278, 375, 558, 755 on our page.

3. How to find GCD of 278, 375, 558, 755 on a calculator?

You can find the GCD of 278, 375, 558, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.