GCD of 775, 428, 75, 251 Calculator

Given Input numbers are 775, 428, 75, 251

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

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

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 775, 428, 75, 251 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 775, 428, 75, 251 is 1.

Therefore, GCD of numbers 775, 428, 75, 251 is 1

Given Input Data is 775, 428, 75, 251

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

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 75 is 3 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(775, 428) = 331700

GCD(775, 428) = ( 775 x 428 ) / 331700

GCD(775, 428) = 331700 / 331700

GCD(775, 428) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 251

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

LCM(1, 251) = 251

GCD(1, 251) = ( 1 x 251 ) / 251

GCD(1, 251) = 251 / 251

GCD(1, 251) = 1

GCD of 775, 428, 75, 251 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 743, 719, 29, 190
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• GCD of 904, 516, 76, 214
• GCD of 409, 522, 74, 494

1. What is the GCD of 775, 428, 75, 251?

GCD of 775, 428, 75, 251 is 1

2. Where do I get the detailed procedure to find GCD of 775, 428, 75, 251?

You can find a detailed procedure to find GCD of 775, 428, 75, 251 on our page.

3. How to find GCD of 775, 428, 75, 251 on a calculator?

You can find the GCD of 775, 428, 75, 251 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.