GCD of 748, 621, 72, 847 Calculator

Given Input numbers are 748, 621, 72, 847

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 621

List of positive integer divisors of 621 that divides 621 without a remainder.

1, 3, 9, 23, 27, 69, 207, 621

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 847

List of positive integer divisors of 847 that divides 847 without a remainder.

1, 7, 11, 77, 121, 847

Greatest Common Divisior

We found the divisors of 748, 621, 72, 847 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 621, 72, 847 is 1.

Therefore, GCD of numbers 748, 621, 72, 847 is 1

Given Input Data is 748, 621, 72, 847

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 621 is 3 x 3 x 3 x 23

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 847 is 7 x 11 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(748, 621) = 464508

GCD(748, 621) = ( 748 x 621 ) / 464508

GCD(748, 621) = 464508 / 464508

GCD(748, 621) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 847

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

LCM(1, 847) = 847

GCD(1, 847) = ( 1 x 847 ) / 847

GCD(1, 847) = 847 / 847

GCD(1, 847) = 1

GCD of 748, 621, 72, 847 is 1

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1. What is the GCD of 748, 621, 72, 847?

GCD of 748, 621, 72, 847 is 1

2. Where do I get the detailed procedure to find GCD of 748, 621, 72, 847?

You can find a detailed procedure to find GCD of 748, 621, 72, 847 on our page.

3. How to find GCD of 748, 621, 72, 847 on a calculator?

You can find the GCD of 748, 621, 72, 847 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.