GCD of 804, 680, 743, 440 Calculator

Given Input numbers are 804, 680, 743, 440

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

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 743

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

1, 743

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

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

Greatest Common Divisior

We found the divisors of 804, 680, 743, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 680, 743, 440 is 1.

Therefore, GCD of numbers 804, 680, 743, 440 is 1

Given Input Data is 804, 680, 743, 440

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

Prime Factorization of 804 is 2 x 2 x 3 x 67

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 743 is 743

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

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(804, 680) = 136680

GCD(804, 680) = ( 804 x 680 ) / 136680

GCD(804, 680) = 546720 / 136680

GCD(804, 680) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 743

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

LCM(4, 743) = 2972

GCD(4, 743) = ( 4 x 743 ) / 2972

GCD(4, 743) = 2972 / 2972

GCD(4, 743) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 440

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

LCM(1, 440) = 440

GCD(1, 440) = ( 1 x 440 ) / 440

GCD(1, 440) = 440 / 440

GCD(1, 440) = 1

GCD of 804, 680, 743, 440 is 1

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1. What is the GCD of 804, 680, 743, 440?

GCD of 804, 680, 743, 440 is 1

2. Where do I get the detailed procedure to find GCD of 804, 680, 743, 440?

You can find a detailed procedure to find GCD of 804, 680, 743, 440 on our page.

3. How to find GCD of 804, 680, 743, 440 on a calculator?

You can find the GCD of 804, 680, 743, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.