GCD of 278, 116, 750, 251 Calculator

Given Input numbers are 278, 116, 750, 251

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 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Greatest Common Divisior

We found the divisors of 278, 116, 750, 251 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 116, 750, 251 is 1.

Therefore, GCD of numbers 278, 116, 750, 251 is 1

Given Input Data is 278, 116, 750, 251

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

Prime Factorization of 278 is 2 x 139

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 251 is 251

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, 116) = 16124

GCD(278, 116) = ( 278 x 116 ) / 16124

GCD(278, 116) = 32248 / 16124

GCD(278, 116) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 750

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

LCM(2, 750) = 750

GCD(2, 750) = ( 2 x 750 ) / 750

GCD(2, 750) = 1500 / 750

GCD(2, 750) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 251

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

LCM(2, 251) = 502

GCD(2, 251) = ( 2 x 251 ) / 502

GCD(2, 251) = 502 / 502

GCD(2, 251) = 1

GCD of 278, 116, 750, 251 is 1

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1. What is the GCD of 278, 116, 750, 251?

GCD of 278, 116, 750, 251 is 1

2. Where do I get the detailed procedure to find GCD of 278, 116, 750, 251?

You can find a detailed procedure to find GCD of 278, 116, 750, 251 on our page.

3. How to find GCD of 278, 116, 750, 251 on a calculator?

You can find the GCD of 278, 116, 750, 251 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.