GCD of 824, 484, 80, 743 Calculator

Given Input numbers are 824, 484, 80, 743

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

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

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 824, 484, 80, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 484, 80, 743 is 1.

Therefore, GCD of numbers 824, 484, 80, 743 is 1

Given Input Data is 824, 484, 80, 743

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

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 80 is 2 x 2 x 2 x 2 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(824, 484) = 99704

GCD(824, 484) = ( 824 x 484 ) / 99704

GCD(824, 484) = 398816 / 99704

GCD(824, 484) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 80

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

LCM(4, 80) = 80

GCD(4, 80) = ( 4 x 80 ) / 80

GCD(4, 80) = 320 / 80

GCD(4, 80) = 4

Step3:

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

GCD of 824, 484, 80, 743 is 1

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1. What is the GCD of 824, 484, 80, 743?

GCD of 824, 484, 80, 743 is 1

2. Where do I get the detailed procedure to find GCD of 824, 484, 80, 743?

You can find a detailed procedure to find GCD of 824, 484, 80, 743 on our page.

3. How to find GCD of 824, 484, 80, 743 on a calculator?

You can find the GCD of 824, 484, 80, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.