GCD of 741, 242, 501, 824 Calculator

Given Input numbers are 741, 242, 501, 824

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

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 824

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

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

Greatest Common Divisior

We found the divisors of 741, 242, 501, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 741, 242, 501, 824 is 1.

Therefore, GCD of numbers 741, 242, 501, 824 is 1

Given Input Data is 741, 242, 501, 824

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

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 501 is 3 x 167

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

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(741, 242) = 179322

GCD(741, 242) = ( 741 x 242 ) / 179322

GCD(741, 242) = 179322 / 179322

GCD(741, 242) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 501

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

LCM(1, 501) = 501

GCD(1, 501) = ( 1 x 501 ) / 501

GCD(1, 501) = 501 / 501

GCD(1, 501) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 824

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

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

GCD(1, 824) = 824 / 824

GCD(1, 824) = 1

GCD of 741, 242, 501, 824 is 1

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1. What is the GCD of 741, 242, 501, 824?

GCD of 741, 242, 501, 824 is 1

2. Where do I get the detailed procedure to find GCD of 741, 242, 501, 824?

You can find a detailed procedure to find GCD of 741, 242, 501, 824 on our page.

3. How to find GCD of 741, 242, 501, 824 on a calculator?

You can find the GCD of 741, 242, 501, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.