GCD of 744, 661, 30, 502 Calculator

Given Input numbers are 744, 661, 30, 502

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

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Greatest Common Divisior

We found the divisors of 744, 661, 30, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 661, 30, 502 is 1.

Therefore, GCD of numbers 744, 661, 30, 502 is 1

Given Input Data is 744, 661, 30, 502

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

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 661 is 661

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 502 is 2 x 251

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(744, 661) = 491784

GCD(744, 661) = ( 744 x 661 ) / 491784

GCD(744, 661) = 491784 / 491784

GCD(744, 661) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 502

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

LCM(1, 502) = 502

GCD(1, 502) = ( 1 x 502 ) / 502

GCD(1, 502) = 502 / 502

GCD(1, 502) = 1

GCD of 744, 661, 30, 502 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 252, 551, 71, 867
• GCD of 447, 419, 46, 642
• GCD of 493, 491, 45, 205
• GCD of 817, 680, 95, 572
• GCD of 145, 949, 64, 814

1. What is the GCD of 744, 661, 30, 502?

GCD of 744, 661, 30, 502 is 1

2. Where do I get the detailed procedure to find GCD of 744, 661, 30, 502?

You can find a detailed procedure to find GCD of 744, 661, 30, 502 on our page.

3. How to find GCD of 744, 661, 30, 502 on a calculator?

You can find the GCD of 744, 661, 30, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.