GCD of 775, 112, 901, 344 Calculator

Given Input numbers are 775, 112, 901, 344

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 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Greatest Common Divisior

We found the divisors of 775, 112, 901, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 775, 112, 901, 344 is 1.

Therefore, GCD of numbers 775, 112, 901, 344 is 1

Given Input Data is 775, 112, 901, 344

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 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 901 is 17 x 53

Prime Factorization of 344 is 2 x 2 x 2 x 43

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, 112) = 86800

GCD(775, 112) = ( 775 x 112 ) / 86800

GCD(775, 112) = 86800 / 86800

GCD(775, 112) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 901

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

LCM(1, 901) = 901

GCD(1, 901) = ( 1 x 901 ) / 901

GCD(1, 901) = 901 / 901

GCD(1, 901) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 344

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

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

GCD(1, 344) = 344 / 344

GCD(1, 344) = 1

GCD of 775, 112, 901, 344 is 1

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1. What is the GCD of 775, 112, 901, 344?

GCD of 775, 112, 901, 344 is 1

2. Where do I get the detailed procedure to find GCD of 775, 112, 901, 344?

You can find a detailed procedure to find GCD of 775, 112, 901, 344 on our page.

3. How to find GCD of 775, 112, 901, 344 on a calculator?

You can find the GCD of 775, 112, 901, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.