GCD of 304, 880, 75, 743 Calculator

Given Input numbers are 304, 880, 75, 743

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

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 75

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

1, 3, 5, 15, 25, 75

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Greatest Common Divisior

We found the divisors of 304, 880, 75, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 880, 75, 743 is 1.

Therefore, GCD of numbers 304, 880, 75, 743 is 1

Given Input Data is 304, 880, 75, 743

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

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 743 is 743

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(304, 880) = 16720

GCD(304, 880) = ( 304 x 880 ) / 16720

GCD(304, 880) = 267520 / 16720

GCD(304, 880) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 75

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

LCM(16, 75) = 1200

GCD(16, 75) = ( 16 x 75 ) / 1200

GCD(16, 75) = 1200 / 1200

GCD(16, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 743

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

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

GCD(1, 743) = 743 / 743

GCD(1, 743) = 1

GCD of 304, 880, 75, 743 is 1

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1. What is the GCD of 304, 880, 75, 743?

GCD of 304, 880, 75, 743 is 1

2. Where do I get the detailed procedure to find GCD of 304, 880, 75, 743?

You can find a detailed procedure to find GCD of 304, 880, 75, 743 on our page.

3. How to find GCD of 304, 880, 75, 743 on a calculator?

You can find the GCD of 304, 880, 75, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.