GCD of 741, 484, 628, 756 Calculator

Given Input numbers are 741, 484, 628, 756

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 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 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Greatest Common Divisior

We found the divisors of 741, 484, 628, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 741, 484, 628, 756 is 1.

Therefore, GCD of numbers 741, 484, 628, 756 is 1

Given Input Data is 741, 484, 628, 756

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 484 is 2 x 2 x 11 x 11

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

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, 484) = 358644

GCD(741, 484) = ( 741 x 484 ) / 358644

GCD(741, 484) = 358644 / 358644

GCD(741, 484) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 628

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

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

GCD(1, 628) = 628 / 628

GCD(1, 628) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 756

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

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

GCD(1, 756) = 756 / 756

GCD(1, 756) = 1

GCD of 741, 484, 628, 756 is 1

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1. What is the GCD of 741, 484, 628, 756?

GCD of 741, 484, 628, 756 is 1

2. Where do I get the detailed procedure to find GCD of 741, 484, 628, 756?

You can find a detailed procedure to find GCD of 741, 484, 628, 756 on our page.

3. How to find GCD of 741, 484, 628, 756 on a calculator?

You can find the GCD of 741, 484, 628, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.